NONLINEAR FREDHOLM ALTERNATIVE FOR THE p-LAPLACIAN UNDER NONHOMOGENEOUS NEUMANN BOUNDARY CONDITION

被引：0

作者：

Madeira, Gustavo Ferron ^{[1
]}

机构：

[1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

Quasilinear elliptic equations; nonlinear Fredholm alternative; p-Laplacian; Neumann boundary value problem; variational methods; global minimizer; 1ST EIGENVALUE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：7

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