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

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Autor(es):
Guimaraes, Mateus Balbino ; Hurtado, Elard Juarez ; Rodrigues, Rodrigo Da Silva
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Electronic Journal of Differential Equations; v. N/A, p. 12-pg., 2019-03-22.
Resumo

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)

Processo FAPESP: 15/11912-6 - Existência de solução para problemas elípticos
Beneficiário:Rodrigo da Silva Rodrigues
Modalidade de apoio: Auxílio à Pesquisa - Regular