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Existence of symmetric solutions for singular semilinear elliptic systems with critical Hardy–Sobolev exponents

✍ Scribed by Zhiying Deng; Yisheng Huang

Book ID: 119334058
Publisher: Elsevier Science
Year: 2013
Tongue: English
Weight: 309 KB
Volume: 14
Category: Article
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2012.07.021

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## 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 po