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

作者：Madeira Gustavo Ferron^*

来源：Electronic Journal of Differential Equations, 2016, 210.

• Quasilinear elliptic equations
• nonlinear Fredholm alternative
• p-Laplacian
• Neumann boundary value problem
• variational methods
• global minimizer

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.

• 出版日期2016-8-2