期刊文献+
共找到371篇文章
< 1 2 19 >
每页显示 20 50 100
A PRIORI ESTIMATES TO THE MAXIMUM MODULUS OF GENERALIZED SOLUTIONS OF A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS WITH ANISOTROPIC GROWTH CONDITIONS 被引量:1
1
作者 梁廷 王向东 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1994年第11期1025-1034,共10页
In this paper we give a priori estimates for the maximum modulus of generalizedsolulions of the quasilinear elliplic equations irith anisotropic growth condition.
关键词 quasilinear elliptic equation. nonstandard growth condition.anisotropic Sobolev space. generalized solution. maximum mod-ulus. a priori estimate
下载PDF
A PRIORI ESTIMATE FOR MAXIMUM MODULUS OF GENERALIZED SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS 被引量:1
2
作者 梁延 王向东 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1990年第10期941-953,共13页
Let G he a hounded domain in E Consider the following quasi-linear elliptic equationAlthough the houndedness of generalized solutions of the equation is proved for very general structural conditions, it does not suppl... Let G he a hounded domain in E Consider the following quasi-linear elliptic equationAlthough the houndedness of generalized solutions of the equation is proved for very general structural conditions, it does not supply a priori estimate for maximum modulus of solutions. In this paper an estimate to the maximum modulus is made firstly for a special case of quasi-linear elliptic equations, i.e. the A and B satisfy the following structural conditions 展开更多
关键词 quasi-linear elliptic equations generalized solutions maximum modulus a priori estimate.
下载PDF
MAXIMUM PRINCIPLES FOR GENERALIZED SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS 被引量:1
3
作者 王向东 徐小增 梁廷 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第4期458-467,共10页
Under the assumption that the growth order of the free term to satisfy the natural growth condition with respect to gradient of the generalized solutions, the maximum principle is proved for the bounded generalized so... Under the assumption that the growth order of the free term to satisfy the natural growth condition with respect to gradient of the generalized solutions, the maximum principle is proved for the bounded generalized solution of quasi_linear elliptic equations. 展开更多
关键词 quasi_linear elliptic equation generalized solution maximum principleFORM INVARIANCE AND NOETHER SYMMETRICAL CONSERVED QUANTITY OF RELATIVISTIC BIRKHOFFIAN SYSTEMS$$$$ LUO Shao_kai 1 2 3 (1.Institute of Mathematical Mechanics and Mathema
下载PDF
ASYMPTOTIC SOLUTION OF SINGULAR PERTURBATION PROBLEMS FOR THE FOURTH-ORDER ELLIPTIC DIFFERENTIAL EQUATIONS 被引量:1
4
作者 苏煜城 刘国庆 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1990年第7期637-650,共14页
In this paper we consider the singularly perturbed boundary value problem for the fourth-order elliptic differential equation, establish the energy estimates of the solutionand its derivatives and construct the formal... In this paper we consider the singularly perturbed boundary value problem for the fourth-order elliptic differential equation, establish the energy estimates of the solutionand its derivatives and construct the formal asymptotic solution by Lyuternik- Vishik 's method. Finally, by means of the energy estimates we obtain the bound of the remainder of the asymptotic solution. 展开更多
关键词 ASYMPTOTIC solution OF singular perturbation PROBLEMS FOR THE FOURTH-ORDER elliptic DIFFERENTIAL equationS
下载PDF
A CLASS OF SINGULARLY PERTURBED GENERALIZED BOUNDARY VALUE PROBLEMS FOR QUASI-LINEAR ELLIPTIC EQUATION OF HIGHER ORDER 被引量:19
5
作者 MO Jia-qi(莫嘉琪) +1 位作者 OUYANG Cheng(欧阳成) 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第3期372-378,共7页
The singularly perturbed generalized boundary value problems far the quasi- linear elliptic equation of higher order are considered. Under suitable conditions, the existence, uniqueness and asymptotic behavior of the ... The singularly perturbed generalized boundary value problems far the quasi- linear elliptic equation of higher order are considered. Under suitable conditions, the existence, uniqueness and asymptotic behavior of the generalized solution for the Dirichlet problems are studied. 展开更多
关键词 elliptic equation singular perturbation generalized solution
下载PDF
INTERIOR ESTIMATES IN MORREY SPACES FOR SOLUTIONS OF ELLIPTIC EQUATIONS AND WEIGHTED BOUNDEDNESS FOR COMMUTATORS OF SINGULAR INTEGRAL OPERATORS 被引量:14
6
作者 刘岚喆 《Acta Mathematica Scientia》 SCIE CSCD 2005年第1期89-94,共6页
It is proved that, for the nondivergence elliptic equations Σi,jn=1aijuxixj=f, if f belongs to the generalized Morrey spaces Lp, (w), then uxixj ∈ Lp, (w), where u is the W2,p-solution of the equations. In order to ... It is proved that, for the nondivergence elliptic equations Σi,jn=1aijuxixj=f, if f belongs to the generalized Morrey spaces Lp, (w), then uxixj ∈ Lp, (w), where u is the W2,p-solution of the equations. In order to obtain this, the author first establish the weighted boundedness for the commutators of some singular integral operators on Lp, (w). 展开更多
关键词 Nondivergence elliptic equation generalized Morrey space commutator of singular integral operator Ap weight
下载PDF
The Nonlinear Nonlocal Singularly Perturbed Problems for Elliptic Equations with Boundary Perturbation 被引量:3
7
作者 莫嘉琪 姚静荪 《Journal of Shanghai Jiaotong university(Science)》 EI 2006年第1期104-106,112,共4页
The nonlinear nonlocal singularly perturbed boundary value problems for elliptic equation with boundary perturbation was considered.Under suitable conditions,firstly,the outer solution of the original problem is obtai... The nonlinear nonlocal singularly perturbed boundary value problems for elliptic equation with boundary perturbation was considered.Under suitable conditions,firstly,the outer solution of the original problem is obtained,secondly,using the stretched variable,the composing expansion method and the expanding theory of power series the boundary layer is constructed,finally,using the theory of differential inequalities the asymptotic behavior of solution for the boundary value problems is studied and educing some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation is discussed. 展开更多
关键词 NONLINEAR elliptic equation singular perturbation
下载PDF
SINGULAR POSITIVE RADIAL SOLUTIONS FOR A GENERAL SEMILINEAR ELLIPTIC EQUATION 被引量:2
8
作者 杨芬 《Acta Mathematica Scientia》 SCIE CSCD 2012年第6期2377-2387,共11页
The existence and uniqueness of singular solutions decaying like r^-m(see (1.4)) of the equation △u+k∑i=1ci|x|liupi=0,x∈R^N are obtained, wheren≥3, ci 〉0, li〉-2, i=1,2,..,k, pi〉 1, i=l,2,-..,kandthe sepa... The existence and uniqueness of singular solutions decaying like r^-m(see (1.4)) of the equation △u+k∑i=1ci|x|liupi=0,x∈R^N are obtained, wheren≥3, ci 〉0, li〉-2, i=1,2,..,k, pi〉 1, i=l,2,-..,kandthe separation structure of singular solutions decaying like r^-(n-2) of eq. (0.1) are discussed. moreover, we obtain the explicit critical exponent ps (l) (see (1.9)). 展开更多
关键词 singular solution DECAY separation property semilinear elliptic equation
下载PDF
INFINITELY MANY SOLUTIONS FOR A SINGULAR ELLIPTIC EQUATION INVOLVING CRITICAL SOBOLEV-HARDY EXPONENTS IN R^N 被引量:1
9
作者 贺小明 邹文明 《Acta Mathematica Scientia》 SCIE CSCD 2010年第3期830-840,共11页
In this article, we study the existence of multiple solutions for the singular semilinear elliptic equation involving critical Sobolev-Hardy exponents -△μ-μ|x|^2^-μ=α|x|^s^-|μ|^2*(s)-2u+βα(x)|u|^... In this article, we study the existence of multiple solutions for the singular semilinear elliptic equation involving critical Sobolev-Hardy exponents -△μ-μ|x|^2^-μ=α|x|^s^-|μ|^2*(s)-2u+βα(x)|u|^r-2u,x∈R^n. By means of the concentration-compactness principle and minimax methods, we obtain infinitely many solutions which tend to zero for suitable positive parameters α,β. 展开更多
关键词 singular elliptic equation Multiple solutions Critical Sobolev-Hardy exponent Minimax method
下载PDF
POSITIVE ENTIRE SOLUTIONS TO SINGULAR SEMILINEAR ELLIPTIC EQUATIONS OF MIXED TYPE 被引量:1
10
作者 姚妙新 《Transactions of Tianjin University》 EI CAS 1995年第1期41+38-41,共5页
In this paper, we are concerned with positive entire solutions to elliptic equations of the form Δu+ f(x,u)= 0 x∈ RN N ≥ 3 where u →f(x,u) is not assumed to be regular near u = 0 and f(x,u) may be more general in... In this paper, we are concerned with positive entire solutions to elliptic equations of the form Δu+ f(x,u)= 0 x∈ RN N ≥ 3 where u →f(x,u) is not assumed to be regular near u = 0 and f(x,u) may be more general involving both singular and sublinear terms. Some sufficient conditions are given with the aid of the barrier method and ODE approach, which guarantee the existence of positive entire solutions that tend to any sufficiently large constants arbitrarily prescribed in advance. 展开更多
关键词 singular semilinear elliptic equation bounded positive entire solution barrier method
下载PDF
SINGULAR PERTURBATION OF THE FOURTH ORDER ELLIPTIC EQUATION WHEN THE LIMIT EQUATION IS ELLIPTIC-PARABOLIC
11
作者 林宗池 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1991年第1期77-84,共8页
This paper considers the singular perturbation of a fourth order elliptic equation when the limit equation is elliptic-parabolic. The equation involves a positive parameter, a positive real number, a Laplacian operato... This paper considers the singular perturbation of a fourth order elliptic equation when the limit equation is elliptic-parabolic. The equation involves a positive parameter, a positive real number, a Laplacian operator, and sufficient smoothness. Under appropriate condition the sufficient condition of solvability is derived, the existence of solution is proved and a uniformly valid asymptotic solution of arbitrary order is given. 展开更多
关键词 singular perturbation limit equation elliptic equation
下载PDF
The Nonlinear Singularly Perturbed Problems for Elliptic Equations with Boundary Perturbation
12
作者 莫嘉琪 张伟江 陈贤峰 《Northeastern Mathematical Journal》 CSCD 2007年第4期293-297,共5页
The nonlinear singularly perturbed problems for elliptic equations with boundary perturbation are considered. Under suitable conditions, by using the theory of differential inequalities the asymptotic behavior of solu... The nonlinear singularly perturbed problems for elliptic equations with boundary perturbation are considered. Under suitable conditions, by using the theory of differential inequalities the asymptotic behavior of solutions for the boundary value problems is studied. 展开更多
关键词 NONLINEAR elliptic equation singular perturbation boundary perturbation
下载PDF
Singular Perturbation of a Class of Dirichlet Exterior Problems for Elliptic Equations
13
作者 XIE Feng (Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200030, China) 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第1期1-6,共6页
In this paper, we consider a class of singularly perturbed Dirichlet exterior problems for elliptic equations. Under the appropriate conditions we construct the formally asymptotic solution of the problem described. U... In this paper, we consider a class of singularly perturbed Dirichlet exterior problems for elliptic equations. Under the appropriate conditions we construct the formally asymptotic solution of the problem described. Using differential inequaltiy theory we prove the existence of the solution of original problem and the uniforly validity of the formal solution. 展开更多
关键词 singular perturbation elliptic equation differential inequality
下载PDF
Singularly Perturbed Generalized Boundary Value Problems for Semilinear Elliptic Equation of Fourth Order
14
作者 莫嘉琪 王辉 朱江 《Northeastern Mathematical Journal》 CSCD 2002年第2期111-116,共6页
The singularly perturbed generalized boundary value problems for semi-linear elliptic equations of fourth order are considered. Under suitable conditions the existence, uniqueness and asymptotic behavior of generalize... The singularly perturbed generalized boundary value problems for semi-linear elliptic equations of fourth order are considered. Under suitable conditions the existence, uniqueness and asymptotic behavior of generalized solutions for the boundary value problems are studied. 展开更多
关键词 elliptic equation singular perturbation generalized solution
下载PDF
ASYMPTOTIC SOLUTION FOR SINGULAR PERTURBATION PROBLEMS OF DIFFERENCE EQUATION
15
作者 吴启光 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1989年第12期1091-1097,共7页
In this paper, we constructed a new asymptotic method for singular perturbation problems of difference equation with a small parameter.
关键词 ASYMPTOTIC solution FOR singular perturbation PROBLEMS OF DIFFERENCE equation
下载PDF
A Class of the Singularly Perturbed Boundary Value Problems for Elliptic Equation with a Super Surface of Turning Point in n-dimensional Space 被引量:6
16
作者 王庚 《Chinese Quarterly Journal of Mathematics》 CSCD 2002年第1期41-46,共6页
In this paper, we study a class singular perturbed elliptic equation boundary value problem with a super surface of turning point in n-dimensional space by using the method of multiple scales and the comparison theore... In this paper, we study a class singular perturbed elliptic equation boundary value problem with a super surface of turning point in n-dimensional space by using the method of multiple scales and the comparison theorem. The uniformly valid asymptotic approxmations of solutions for the boundary value problem is constructed. 展开更多
关键词 singular perturbation turning point elliptic equation
下载PDF
The Singularly Perturbed Boundary Value Problems for Elliptic Equation with Turning Point 被引量:1
17
作者 陈松林 莫嘉琪 《Chinese Quarterly Journal of Mathematics》 CSCD 2000年第3期12-16,共5页
The singularly perturbed elliptic equation boundary value problem with turning point is considered. Using the method of multiple scales and the comparison theorem, the asymptotic behavior of solution for the boundary ... The singularly perturbed elliptic equation boundary value problem with turning point is considered. Using the method of multiple scales and the comparison theorem, the asymptotic behavior of solution for the boundary value problem is studied. 展开更多
关键词 singular perturbation boundary value problem elliptic equation
下载PDF
REFINED DIFFERENTIAL EQUATIONS OF DEFLECTIONS IN AXIAL SYMMETRICAL BENDING PROBLEMS OF SPHERICAL SHELL AND THEIR SINGULAR PERTURBATION SOLUTIONS
18
作者 范存旭 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1990年第12期1175-1185,共11页
This paper deals with the research of accuracy of differential equations of deflections. The basic idea is as follows. Firstly, considering the boundary effect the meridian midsurface displacement u=0, thus we derive ... This paper deals with the research of accuracy of differential equations of deflections. The basic idea is as follows. Firstly, considering the boundary effect the meridian midsurface displacement u=0, thus we derive the deflection differential equations; secondly we accurately prove that by use of the deflection differential equations or the original differential equations the same inner forces solutions are obtained; finally, we accurately prove that considering the boundary effect the meridian surface displacement u = 0 is an exact solution. In this paper we give the singular perturbation solution of the deflection differential equations. Finally we check the equilibrium condition and prove the inner forces solved by perturbation method and the outer load are fully equilibrated. It shows that perturbation solution is accurate. On the other hand, it shows again that the deflection differential equation is an exact equation.The features of the new differential equations are as follows:1. The accuracies of the new differential equations and the original differential e-quations are the same.2. The new differential equations can satisfy the boundary conditions simply.3. It is advantageous to use perturbation method with the new differential equations.4 We may obtain the deflection expression(w)and slope expression (dw/da) by using the new differential equations.The new differential equations greatly simplify the calculation of spherical shell. The notation adopted in this paper is the same as that in Ref. [1] 展开更多
关键词 spherical shell differential equation of deflections singular perturbation solution
下载PDF
SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR ELLIPTIC EQUATION WITH A CURVE OF TURNING POINT
19
作者 Mo JiaqiHuzhou Teachers College, Huzhou 313000. 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2002年第1期64-68,共5页
The singularly perturbed elliptic equation boundary value problem with a curve of turning point is considered. Using the method of multiple scales and the comparison theorem, the asymptotic behavior of solution for th... The singularly perturbed elliptic equation boundary value problem with a curve of turning point is considered. Using the method of multiple scales and the comparison theorem, the asymptotic behavior of solution for the boundary value problem is studied. 展开更多
关键词 singular perturbation turning point elliptic equation.
下载PDF
A CLASS OF SINGULARLY PERTURBED ROBIN BOUNDARY VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATION
20
作者 Mo JiaqiDept.of Math.,Huzhou Teachers College,Huzhou 313000. 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2001年第4期364-368,共5页
The singularly perturbed Robin boundary value problems for the semilinear elliptic equation are considered.Under suitable conditions and by using the fixed point theorem the existence,uniqueness and asymptotic behavio... The singularly perturbed Robin boundary value problems for the semilinear elliptic equation are considered.Under suitable conditions and by using the fixed point theorem the existence,uniqueness and asymptotic behavior of solution for the boundary value problems are studied. 展开更多
关键词 elliptic equation singular perturbation fixed point theorem.
下载PDF
上一页 1 2 19 下一页 到第
使用帮助 返回顶部