Multiplicity of Solutions for Elliptic System Involving Supercritical Sobolev Exponent
β Scribed by Yanqin Fang; Jihui Zhang
- Publisher
- Springer Netherlands
- Year
- 2011
- Tongue
- English
- Weight
- 372 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0167-8019
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π SIMILAR VOLUMES
The main results of this paper establish, via the variational method, the multiplicity of solutions for quasilinear elliptic problems involving critical Sobolev exponents under the presence of symmetry. The concentration-compactness principle allows to prove that the Palais-Smale condition is satisf
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
In this paper, a singular elliptic system is investigated, which involves multiple critical Sobolev exponents and Hardy-type terms. By using variational methods and analytical techniques, the existence of positive and sign-changing solutions to the system is established.