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Multiple solutions for inhomogeneous elliptic problems involving critical Sobolev–Hardy exponents

✍ Scribed by Dongsheng Kang; Yinbin Deng

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
278 KB
Volume
60
Category
Article
ISSN
0362-546X

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✦ Synopsis

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 critical inhomogeneous problem

with Dirichlet boundary condition on * under some assumptions on f (x), and .

📜 SIMILAR VOLUMES

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