On positive G-symmetric solutions of a weighted quasilinear elliptic equation with critical hardy-sobolev exponent
โ Scribed by DENG, Zhiying; HUANG, Yisheng
- Book ID
- 125830370
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 382 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0252-9602
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๐ SIMILAR VOLUMES
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 โ R N be a smooth bounded domain such that 0 โ ; N ยฟ 3; 0 6 s ยก 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