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Symmetry and nonexistence of positive solutions of elliptic equations and systems with Hardy terms

✍ Scribed by Tianling Jin

Book ID
113453725
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
205 KB
Volume
28
Category
Article
ISSN
0294-1449

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πŸ“œ SIMILAR VOLUMES

Positive solutions for elliptic equation
Positive solutions for elliptic equations involving critical Sobolev exponents and Hardy terms with Neumann boundary conditions
✍ Pigong Han; Zhaoxia Liu πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 216 KB

In this paper, Neumann problem for nonlinear elliptic equations with critical Sobolev exponents and Hardy terms is studied by variational method. Based on the variant of the mountain pass theorem of Ambrosetti and Rabinowitz without (PS) condition, we prove the existence of positive solutions.

Existence and Nonexistence of Entire Pos
Existence and Nonexistence of Entire Positive Solutions of Semilinear Elliptic Systems
✍ Xuefeng Wang; Aihua W. Wood πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 80 KB

We show that entire positive solutions exist for the semilinear elliptic system u = p x v Ξ± , v = q x u Ξ² on R N , N β‰₯ 3, for positive Ξ± and Ξ², provided that the nonnegative functions p and q are continuous and satisfy appropriate decay conditions at infinity. We also show that entire solutions fail

Existence and multiplicity of solutions
Existence and multiplicity of solutions for semilinear elliptic equations with Hardy terms and Hardy–Sobolev critical exponents
✍ Ling Ding; Chun-Lei Tang πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 224 KB

Some existence and multiplicity results are obtained for solutions of semilinear elliptic equations with Hardy terms, Hardy-Sobolev critical exponents and superlinear nonlinearity by the variational methods and some analysis techniques.