Mateus Balbino Guimaraes, Elard Juarez Hurtado, Rodrigo da Silva Rodrigues
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.
Submitted May 25, 2018. Published March 22, 2019.
Math Subject Classifications: 35A15, 35J60.
Key Words: Variational methods; nonlinear elliptic equations;
Steklov-Neumann eigenvalues.
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Mateus Balbino Guimarães Departamento de Eduacação e Ciências Instituto Federal do Sudeste de Minas Gerais 36080-001, Juiz de Fora, MG, Brazil email: mateus.guimaraes@ifsudestemg.edu.br |
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Elard Juarez Hurtado Departamento de Matemática e Computação Universidade Estadual Paulista 19060-900, Presidente Prudente, SP, Brazil email: elardjh2@gmail.com |
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Rodrigo da Silva Rodrigues Departamento de Matemática Universidade Federal de São Carlos 13565-905, São Carlos, SP, Brazil email: rodrigo@dm.ufscar.br |
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