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Existence of solutions for elliptic equations with critical Sobolev–Hardy exponents

✍ Scribed by Dongsheng Kang; Shuangjie Peng

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
244 KB
Volume
56
Category
Article
ISSN
0362-546X

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✦ Synopsis

Let

⊂ R N be a smooth bounded domain such that 0 ∈ ; N ¿ 3; 0 6 s ¡ 2; 2 * (s

Via the variational methods, We prove the existence of sign-changing solutions for the singular critical problem -u -u=|x| 2 = |u| 2 * (s)-2 =|x| s u + |u| r-2 u with Dirichlet boundary condition on for suitable positive parameters and .

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