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Quasilinear elliptic problems involving multiple critical Hardy–Sobolev exponents

✍ Scribed by Dongsheng Kang

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
619 KB
Volume
57
Category
Article
ISSN
0898-1221

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✦ Synopsis

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.

📜 SIMILAR VOLUMES

Multiple solutions for inhomogeneous ell
Multiple solutions for inhomogeneous elliptic problems involving critical Sobolev–Hardy exponents
✍ Dongsheng Kang; Yinbin Deng 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 278 KB

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