SUPERLINEAR ELLIPTIC PROBLEMS WITH SIGN CHANGING COEFFICIENTS
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
04/11/2013
04/11/2013
02/08/2013
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Resumo |
Via variational methods, we study multiplicity of solutions for the problem {-Delta u = lambda b(x)vertical bar u vertical bar(q-2)u + au + g(x, u) in Omega, u - 0 on partial derivative Omega, where a simple example for g( x, u) is |u|(p-2)u; here a, lambda are real parameters, 1 < q < 2 < p <= 2* and b(x) is a function in a suitable space L-sigma. We obtain a class of sign changing coefficients b(x) for which two non-negative solutions exist for any lambda > 0, and a total of five nontrivial solutions are obtained when lambda is small and a >= lambda(1). Note that this type of results are valid even in the critical case. Fapesp/Brazil FONDECYT [1080430] |
Identificador |
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, SINGAPORE, v. 14, n. 1, pp. 1250001-1-1250001-21, FEB, 2012 0219-1997 http://www.producao.usp.br/handle/BDPI/37980 10.1142/S0219199712500010 |
Idioma(s) |
eng |
Publicador |
WORLD SCIENTIFIC PUBL CO PTE LTD SINGAPORE |
Relação |
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS |
Direitos |
restrictedAccess Copyright WORLD SCIENTIFIC PUBL CO PTE LTD |
Palavras-Chave | #MULTIPLICITY OF SOLUTIONS #VARIATIONAL METHODS #SUBCRITICAL AND CRITICAL GROWTH #CONCAVE-CONVEX NONLINEARITY #SIGN CHANGING COEFFICIENTS #LOCAL SUPERLINEARITY #NONLINEARITIES #CONCAVE #SUBLINEARITY #EQUATIONS #ORIGIN #MATHEMATICS, APPLIED #MATHEMATICS |
Tipo |
article original article publishedVersion |