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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
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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
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Boundedness of Solutions for Elliptic Variational Inequalities
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作者 Ye Ruifen(Department of Mathematics, Guangzhou Teachers’ College, 510400) 《Chinese Quarterly Journal of Mathematics》 CSCD 1996年第1期56-62,共7页
The boundedness is proved under more general structural conditions to solutions of elliptic variational inequalities and a priori estimates are obtained to maximum modulus of solutions for some special cases.
关键词 elliptic variational inequality generalized solution bounded solution:maximum modulus priori estimate
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THE MAXIMUM AND MINIMUM SOLUTIONS OF NONLINEAR INTEGRODIFFERENTIAL EQUATIONS OF MIXED TYPE WITH IMPULSES IN BANACH SPACES
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作者 刘伟安 《Annals of Differential Equations》 1995年第1期77-87,共11页
In this paper, we discuss the maximum and minimum solutions as will as generalized maximum and minimum solutions of nonlinear integrodifferential equations of mixed type with impulses at fixed moments in Banach soaces... In this paper, we discuss the maximum and minimum solutions as will as generalized maximum and minimum solutions of nonlinear integrodifferential equations of mixed type with impulses at fixed moments in Banach soaces by the theorems of fixed points for inreasing operators. 展开更多
关键词 A bstrat impulsive differential equation Abstract integrodifferential equation Monotone iterative tehnique maximum and minmimum solutions Generalized solutions
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INITIAL VALUE PROBLEM FOR HIGH DIMENSIONAL DYNAMIC SYSTEMS
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作者 朱长江 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1995年第3期279-282,共4页
In this paper. we prove the existence of the global classical solutions and the uniform stability of the zero solution to the initial value problem for a class of high dimensional dynamic systems which contain the deg... In this paper. we prove the existence of the global classical solutions and the uniform stability of the zero solution to the initial value problem for a class of high dimensional dynamic systems which contain the degenerate case. 展开更多
关键词 maximum principle. global classical solution uniform stability
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