Elliptic problems with critical exponents and Hardy potentials
نویسندگان
چکیده
منابع مشابه
Elliptic problems with critical exponents and Hardy potentials
This paper is devoted to the existence of positive solutions of a Dirichlet problem with critical exponent and a singular potential. Under various assumption on the domain O; which include some kinds of unbounded domains, we prove the existence of ground states and of symmetric solutions. r 2002 Elsevier Science (USA). All rights reserved.
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Article history: Received 16 October 2014 Accepted after revision 26 January 2015 Available online 26 February 2015 Presented by Haïm Brézis Let Ω ⊂ RN be a bounded C2 domain and Lκ = − − κ d2 where d = dist(., ∂Ω) and 0 < κ ≤ 4 . Let α± = 1 ± √ 1− 4κ , λκ the first eigenvalue of Lκ with corresponding positive eigenfunction φκ . If g is a continuous nondecreasing function satisfying ∫ ∞ 1 (g(s)...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2003
ISSN: 0022-0396
DOI: 10.1016/s0022-0396(02)00178-x