Solutions for semilinear elliptic problems with critical Sobolev–Hardy exponents and Hardy potential
✍ Scribed by Dongsheng Kang; Shuangjie Peng
- Book ID
- 108052182
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 163 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0893-9659
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📜 SIMILAR VOLUMES
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.
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.
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