Existence theorem for a class of semilinear totally characteristic elliptic equations with critical cone Sobolev exponents
β Scribed by Hua Chen; Xiaochun Liu; Yawei Wei
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 228 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0232-704X
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π SIMILAR VOLUMES
## 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
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.
In this paper we prove nonexistence results for some classes of nonlinear elliptic equations with critical growth of the form where 2 \* = 2N/ (N -2), g (x, u) is a lower-order perturbation of u 2 \* -1 and Ξ© is a bounded, strictly star-shaped domain in R N , N β₯ 3. Combining Pohozaev's identity wi