Nonexistence of radial node solutions for elliptic problems with critical Sobolev exponents
β Scribed by Yinbin Deng; Jixiu Wang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 412 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let β R N be a smooth bounded domain such that 0 β , 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
## 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