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Solutions of elliptic equations with critical Sobolev exponent in dimension three

✍ Scribed by Myriam Comte

Book ID
107967462
Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
529 KB
Volume
17
Category
Article
ISSN
0362-546X

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## Let βŠ‚ R N be a smooth bounded domain such that 0 ∈ ; N ΒΏ 3; 0 6 s Β‘ 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