In this paper, we study a kind of quasilinear elliptic problem which involves multiple critical Hardy-Sobolev exponents and Hardy terms. By employing the variational methods and analytical techniques, the existence of sign-changing solutions to the problem is obtained.
Multiplicity of solutions for quasilinear elliptic problems involving critical Sobolev exponents
β Scribed by Elves A.B Silva; Magda S Xavier
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 152 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0294-1449
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β¦ Synopsis
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 satisfied below a certain level.
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