Existence and multiplicity of solutions for non-degenerate Kirchhoff type problem with nonlinear boundary condition
Date
2019-03-22
Authors
Guimaraes, Mateus Balbino
Hurtado, Elard Juarez
Rodrigues, Rodrigo da Silva
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We show the existence of solutions for nonlinear elliptic partial differential equations with Steklov nonlinear boundary conditions involving a Kirchhoff type operator. By using variational and topological methods, we prove the existence and multiplicity of solutions. The results obtained are new even for the standard stationary Kirchhoff equation with nonlinear boundary condition involving the p-Laplacian operator.
Description
Keywords
Variational methods, Nonlinear elliptic equations, Steklov-Neumann eigenvalues
Citation
Guimarães, M. B., Hurtado, E. J., & Rodrigues, R. S. (2019). Existence and multiplicity of solutions for non-degenerate Kirchhoff type problem with nonlinear boundary condition. <i>Electronic Journal of Differential Equations, 2019</i>(42), pp. 1-12.
Rights
Attribution 4.0 International