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Combining local and non-local terms in a nonlinear elliptic problem

 

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Author: Sobreira de Araujo Correa, Francisco Júlio
Suárez Fernández, Antonio
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2012-03-30
Published in: Mathematical Methods in the Applied Sciences, 35 (5), 547-563.
Document type: Article
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 are mainly based on fixed point theorems, bifurcation techniques, sub-supersolutions and continuation arguments.
Cite: 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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Format: PDF

URI: http://hdl.handle.net/11441/43160

DOI: 10.1002/mma.1592

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