Article
Combining local and non-local terms in a nonlinear elliptic problem
Author/s | Sobreira de Araujo Correa, Francisco Júlio
Suárez Fernández, Antonio |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2012-03-30 |
Deposit Date | 2016-07-05 |
Published in |
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Abstract | In this paper we study the existence, uniqueness, multiplicity and stability of positive solution of a non-linear elliptic problem that combines local and non-local terms taking the form of an integral in space. The proofs ... In this paper we study the existence, uniqueness, multiplicity and stability of positive solution of a non-linear elliptic problem that combines local and non-local terms taking the form of an integral in space. The proofs are mainly based on fixed point theorems, bifurcation techniques, sub-supersolutions and continuation arguments. |
Project ID. | 301603/2007-3
MTM2009-12367 |
Citation | Sobreira de Araujo Correa, F.J. (2012). Combining local and non-local terms in a nonlinear elliptic problem. Mathematical Methods in the Applied Sciences, 35 (5), 547-563. |
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