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Type: Artigo de periódico
Title: On a class of quasilinear elliptic problems involving critical exponents
Author: de Figueiredo, DG
Abstract: This paper deals with the following class of quasilinear elliptic problems in radial form {-(r(alpha)\u'\(beta)u')' = lambda r(delta)u(l-1) + r(gamma)u(q-1) in (0, R) {u > 0, u(R) = u' (0) = 0 where alpha, beta, delta, l, gamma, q are given real numbers, lambda > 0 is a parameter and 0 < R < infinity. Some results on the existence of positive solutions are obtained by combining the R Mountain Pass Theorem with an argument used by Brezis and Nirenberg to overcome the lack of compactness due to the presence of critical Sobolev exponents.
Subject: radial solutions
critical Sobolev exponents
positive solutions
Country: Singapura
Editor: World Scientific Publ Co Pte Ltd
Citation: Communications In Contemporary Mathematics. World Scientific Publ Co Pte Ltd, v. 2, n. 1, n. 47, n. 59, 2000.
Rights: fechado
Identifier DOI: 10.1142/S0219199700000049
Date Issue: 2000
Appears in Collections:Unicamp - Artigos e Outros Documentos

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