Study of a nonlinear Kirchhoff equation with non-homogeneous material

作者：Figueiredo Giovany M; Morales Rodrigo Cristian^*; Santos Junior Joao R; Suarez Antonio

来源：Journal of Mathematical Analysis and Applications, 2014, 416(2): 597-608.

DOI：10.1016/j.jmaa.2014.02.067

• Kirchhoff equation
• Non-homogeneous material
• Bifurcation methods

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.

• 出版日期2014-8-15