Study of a nonlinear Kirchhoff equation with non-homogeneous material

By Giovany M. Figueiredo, Cristian Morales-Rodrigo, Joao R. Santos J'unior, Antonio Suárez. 2014

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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.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/64aee2afbf907f617b725399177fc976020c90f4