Existence and concentration of solutions for a class of biharmonic equations
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
31/10/2013
31/10/2013
02/08/2013
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| Resumo |
Some superlinear fourth order elliptic equations are considered. A family of solutions is proved to exist and to concentrate at a point in the limit. The proof relies on variational methods and makes use of a weak version of the Ambrosetti-Rabinowitz condition. The existence and concentration of solutions are related to a suitable truncated equation. (C) 2012 Elsevier Inc. All rights reserved. CNPq (Brazil) |
| Identificador |
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, SAN DIEGO, v. 390, n. 1, pp. 274-289, 37043, 2012 0022-247X http://www.producao.usp.br/handle/BDPI/37019 10.1016/j.jmaa.2012.01.039 |
| Idioma(s) |
eng |
| Publicador |
ACADEMIC PRESS INC ELSEVIER SCIENCE SAN DIEGO |
| Relação |
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
| Direitos |
restrictedAccess Copyright ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Palavras-Chave | #VARIATIONAL METHODS #BIHARMONIC EQUATIONS #NONTRIVIAL SOLUTIONS #NONLINEAR SCHRODINGER-EQUATIONS #CRITICAL EXPONENTIAL-GROWTH #ELLIPTIC PROBLEMS #R-N #POSITIVE SOLUTIONS #NODAL SOLUTIONS #MULTIPLICITY #MATHEMATICS, APPLIED #MATHEMATICS |
| Tipo |
article original article publishedVersion |
