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

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Author(s):
Guimaraes, Mateus Balbino ; Hurtado, Elard Juarez ; Rodrigues, Rodrigo Da Silva
Total Authors: 3
Document type: Journal article
Source: Electronic Journal of Differential Equations; v. N/A, p. 12-pg., 2019-03-22.
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. (AU)

FAPESP's process: 15/11912-6 - Solutions for elliptic problems
Grantee:Rodrigo da Silva Rodrigues
Support Opportunities: Regular Research Grants