On semilinear elliptic problems involving critical exponents
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Date
2009
Journal Title
Journal ISSN
Volume Title
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Abstract
In this paper we study Brezis-Nirenberg type results for radial solutions of a semilinear elliptic equation of the form
-Delta u = lambda C(vertical bar x vertical bar)u + B(vertical bar x vertical bar)vertical bar u vertical bar(q-2)u, a.e.chi is an element of B-R(0) subset of R-N, R > 0,
u = 0, on partial derivative B-R(0)
Where lambda is an element of R, q >= 2, and the weights B, C are appropriate positive measurable radially symetric functions. (c) 2008 Elsevier Ltd. All rights reserved.
-Delta u = lambda C(vertical bar x vertical bar)u + B(vertical bar x vertical bar)vertical bar u vertical bar(q-2)u, a.e.chi is an element of B-R(0) subset of R-N, R > 0,
u = 0, on partial derivative B-R(0)
Where lambda is an element of R, q >= 2, and the weights B, C are appropriate positive measurable radially symetric functions. (c) 2008 Elsevier Ltd. All rights reserved.
Description
Keywords
Pohozaev identities, Critical dimensions, CRITICAL SOBOLEV EXPONENTS, INDEFINITE WEIGHT, EQUATIONS, EXISTENCE, EIGENVALUE