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Study of a nonlinear Kirchhoff equation with non-homogeneous material |
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| Authors: | Giovany M Figueiredo Cristian Morales-Rodrigo João R Santos Júnior Antonio Suárez |
| Institution: | 1. Universidade Federal do Pará, Faculdade de Matemática, CEP: 66075-110 Belém, Pa, Brazil;2. Dpto. de Ecuaciones Diferenciales y Análisis Numérico, Fac. de Matemáticas, Univ. de Sevilla, C/. Tarfia s/n, 41012, Sevilla, Spain |
| Abstract: | In this paper we study a non-homogeneous elliptic Kirchhoff equation with nonlinear reaction term. We analyze the existence and uniqueness of positive solution. The main novelty is the inclusion of non-homogeneous term making the problem without a variational structure. We use mainly bifurcation arguments to get the results. |
| Keywords: | Kirchhoff equation Non-homogeneous material Bifurcation methods |
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