Combining local and nonlocal terms in a nonlinear elliptic problem |
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| Authors: | Francisco Julio S. A. Corrêa Antonio Suárez |
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| Affiliation: | 1. Centro de Ciências e Tecnologia, Unidade Acadêmica de Matemática e Estatística, Universidade Federal de Campina Grande, , Campina Grande, PB, Brazil;2. Dpto. de Ecuaciones Diferenciales y Análisis Numérico, Fac. de Matemáticas, Universidad de Sevilla, , 41012 Seville, Spain |
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| Abstract: | In this paper, we study the existence, uniqueness, multiplicity, and stability of positive solution of a nonlinear elliptic problem that combines local and nonlocal terms, taking the form of an integral in the space. The proofs are mainly based on fixed point theorems, bifurcation techniques, sub‐supersolutions, and continuation arguments. Copyright © 2012 John Wiley & Sons, Ltd. |
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| Keywords: | nonlocal elliptic equations bifurcation techniques a priori bounds |
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