Gustavo Ferron Madeira
Abstract:
The nonlinear Fredholm alternative for the p-Laplacian in higher dimensions
is established when nonhomogeneous terms appear in the equation and in
the Neumann boundary condition. Further, the geometry of the associated
energy functional is described and compared with the Dirichlet counterpart.
The proofs require only variational methods.
Submitted August 12, 2015. Published August 2, 2016.
Math Subject Classifications: 35J60, 35J65, 47J30, 49N10.
Key Words: Quasilinear elliptic equations; nonlinear Fredholm alternative;
p-Laplacian; Neumann boundary value problem; variational methods;
global minimizer.
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| Gustavo Ferron Madeira Departamento de Matemática Universidade Federal de São Carlos 13.565-905, São Carlos (SP), Brazil email: gfmadeira@dm.ufscar.br |
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