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
Multiplicity results and bifurcation for nonlinear elliptic problems involving critical Sobolev exponents
β Scribed by Sang Ji-Ye
- Book ID
- 107967662
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 302 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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.
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 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