The existence and multiplicity of positive solutions are obtained for a class of semilinear elliptic equations with critical weighted Hardy-Sobolev exponents and the concaveconvex nonlinearity by variational methods and some analysis techniques.
β¦ LIBER β¦
Existence and multiplicity of positive solutions for semilinear elliptic systems with Sobolev critical exponents
β Scribed by Chang-Mu Chu; Chun-Lei Tang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 748 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
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## Let β R N be a smooth bounded domain such that 0 β ; N ΒΏ 3; 0 6 s Β‘ 2; 2 \* (s Via the variational methods, We prove the existence of sign-changing solutions for the singular critical problem -u -u=|x| 2 = |u| 2 \* (s)-2 =|x| s u + |u| r-2 u with Dirichlet boundary condition on for suitable po