NON-EXISTENCE OF POSITIVE ENTIRE SOLUTIONS FOR ELLIPTIC INEQUALITIES OF P-LAPLACIAN 被引量：4

NON EXISTENCE OF POSITIVE ENTIRE SOLUTIONS FOR ELLIPTIC INEQUALITIES OF P LAPLACIAN

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摘要 In this paper, the nonexistence of positive entire solutions for div(|Du| p-2 Du)q(x)f(u),x∈R N, is established, where p】1,Du=(D 1u,...,D Nu),q∶R N→(0,∞) and f∶(0,∞)→(0,∞) are continuous functions. In this paper, the nonexistence of positive entire solutions for div(|Du| p-2 Du)q(x)f(u),x∈R N, is established, where p>1,Du=(D 1u,...,D Nu),q∶R N→(0,∞) and f∶(0,∞)→(0,∞) are continuous functions.

作者 YANG ZUODONG

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1997年第4期399-410,共12页 高校应用数学学报（英文版）（B辑）

关键词 Positive entire solutions quasilinear elliptic inequalities positive radial solutions Positive entire solutions quasilinear elliptic inequalities positive radial solutions

分类号 O177 [理学—基础数学]

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同被引文献13

1Zuodong YANG and Qishao LU (College of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China) (Received October 8, 2000).Non-existence of positive radial solutions for a class of quasilinear elliptic system[J].Communications in Nonlinear Science and Numerical Simulation,2000,5(4):184-187. 被引量：3
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引证文献4

1杨作东,杨会生.EXISTENCE OF POSITIVE ENTIRE SOLUTIONS FOR QUASILINEAR ELLIPTIC SYSTEMS[J].Annals of Differential Equations,2002,18(4):417-424.
2杨会生,杨作东.EXISTENCE OF POSITIVE SOLUTIONS TO A ROBIN BOUNDARY VALUE PROBLEM FOR A CLASS QUASILINEAR ORDINARY DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,2002,18(2):183-196.
3Zuodong YANG and Qishao LU (College of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China) (Received October 8, 2000).Non-existence of positive radial solutions for a class of quasilinear elliptic system[J].Communications in Nonlinear Science and Numerical Simulation,2000,5(4):184-187. 被引量：3
4杨作东.一类拟线性椭圆型方程组正对称解的存在性(英文)[J].河南师范大学学报（自然科学版）,2003,31(1):1-12.

二级引证文献3

1Zuodong YANG and Qishao LU Department of Applied Mathematics, Peking University of Aeronautics and Astronautics, Beijing 100083, China.Existence of entire explosive positive radial solutions of sublinear elliptic systems[J].Communications in Nonlinear Science and Numerical Simulation,2001,6(2):88-92.
2杨作东.一类拟线性椭圆型方程组正对称解的存在性(英文)[J].河南师范大学学报（自然科学版）,2003,31(1):1-12.
3杨作东,陆启韶.一类非牛顿渗流方程爆破界的估计(英文)[J].Journal of Mathematical Research and Exposition,2003,23(1):7-14.

1Xu Jianrong (College of Computer and Information, Fujian Agriculture and Forestry University, Fuzhou 350002).POSITIVE ENTIRE SOLUTIONS TO NON-LINEAR p-LAPLACE SYSTEMS[J].Annals of Differential Equations,2008,24(4):451-456.
2姜广峰.A Note on the Non-existence of Negatively Weighted Derivations[J].Chinese Quarterly Journal of Mathematics,1995,10(4):21-26.
3BERBICHE Mohamed,HAKEM Ali.Non-Existence of Global Solutions for a Fractional Wave-Diffusion Equation[J].Journal of Partial Differential Equations,2012,25(1):1-20.
4杨作东,杨会生.EXISTENCE OF POSITIVE ENTIRE SOLUTIONS FOR QUASILINEAR ELLIPTIC SYSTEMS[J].Annals of Differential Equations,2002,18(4):417-424.
5邵明宪.巧用柯西不等式求最值[J].数学通讯（教师阅读）,2009(2):22-23. 被引量：1
6Wu Jiongqi.ON THE EXISTENCE OF POSITIVE ENTIRE SOLUTIONS FOR SINGULAR p-LAPLACE EQUATIONS[J].Annals of Differential Equations,2005,21(4):592-597. 被引量：2
7Jiongqi Wu (Dept. of Math.,Zhangzhou Normal University,Zhangzhou 363000,Fujian).NONRADIAL POSITIVE SOLUTIONS TO SINGULAR QUASILINEAR ELLIPTIC EQUATIONS IN THE PLANE[J].Annals of Differential Equations,2009,25(2):189-194.
8WANG Yan Ping.The Existence and Non-Existence of Global Solutions for a Nonlinear Wave Equation[J].Journal of Mathematical Research and Exposition,2009,29(1):164-168.
9叶彦谦.ON A CONJECTURE CONCERNING THE NON-EXISTENCE OF LIMIT CYCLES FOR QUADRATIC DIFFERENTIAL SYSTEMS[J].Annals of Differential Equations,2000,16(4):391-400. 被引量：6
10LU Gang,LIANG Zhao jun(Department of Mathematics, Huazhong Normal Universitg, Wuhan 430070, China).NON－EXISTENCE　OF　SINGULAR　CYCLES　IN　A　QUADRIC　DIFFERENTIAL　SYSTEM　WITH　FINE　FOCUS　OF　ORDER　THREE[J].Systems Science and Mathematical Sciences,1994,7(2):133-139.

Applied Mathematics(A Journal of Chinese Universities)

1997年第4期

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NON-EXISTENCE OF POSITIVE ENTIRE SOLUTIONS FOR ELLIPTIC INEQUALITIES OF P-LAPLACIAN 被引量：4

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引证文献4

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