Infinitely many solutions for an elliptic problem involving critical Sobolev and Hardy–Sobolev exponents
✍ Scribed by Shusen Yan, Jianfu Yang
- Book ID
- 120914049
- Publisher
- Springer
- Year
- 2012
- Tongue
- English
- Weight
- 316 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0944-2669
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📜 SIMILAR VOLUMES
Let ⊂ R N be a smooth bounded domain such that 0 ∈ , 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 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.