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Existence of solutions for elliptic problems with critical Sobolev-Hardy exponents

โœ Scribed by Dongsheng Kang; Shuangjie Peng

Publisher
The Hebrew University Magnes Press
Year
2004
Tongue
English
Weight
561 KB
Volume
143
Category
Article
ISSN
0021-2172

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๐Ÿ“œ SIMILAR VOLUMES

Existence of solutions for elliptic equa
Existence of solutions for elliptic equations with critical Sobolevโ€“Hardy exponents
โœ Dongsheng Kang; Shuangjie Peng ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 244 KB

## Let โŠ‚ R N be a smooth bounded domain such that 0 โˆˆ ; N ยฟ 3; 0 6 s ยก 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

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Let โŠ‚ R N be a smooth bounded domain such that 0 โˆˆ , 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

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Some existence and multiplicity results are obtained for solutions of semilinear elliptic equations with Hardy terms, Hardy-Sobolev critical exponents and superlinear nonlinearity by the variational methods and some analysis techniques.