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.
Solutions for semilinear elliptic problems with critical Sobolev–Hardy exponents in
✍ Scribed by Dongsheng Kang
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 206 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
Let ⊂ R N be a smooth bounded domain such that 0 ∈ , N 3, 0 s < 2, 2 \* (s) := 2(N - s)/N -2 is the critical Sobolev-Hardy exponent, f (x) is a given function. By using the Ekeland's variational principle and the mountain pass lemma, we prove the existence of multiple solutions for the singular crit
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.
## Let ⊂ R N be a smooth bounded domain such that 0 ∈ ; N ¿ 3; 0 6 s ¡ 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
In this paper, we study a kind of quasilinear elliptic problem which involves multiple critical Hardy-Sobolev exponents and Hardy terms. By employing the variational methods and analytical techniques, the existence of sign-changing solutions to the problem is obtained.