EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR NON-DEGENERATE KIRCHHOFF TYPE PROBLEM WITH NONLINEAR BOUNDARY CONDITION

Guimaraes, Mateus Balbino; Hurtado, Elard Juarez [UNESP]; Rodrigues, Rodrigo Da Silva

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

Publisher

Texas State Univ

Type

Article

Access right

Acesso restrito

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.