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math.AP2023
A critical neumann problem with anisotropic p-laplacian
Gustavo F. Madeira, Olímpio H. Miyakaki, Alânnio B. Nóbrega
We are concerned with the existence of solution of the problem $ -Δ^H_pu+|u|^{p-2}u=λ|u|^{q-2}u+ |u|^{p^*-2}u\quad \mbox{in}\quadΩ,$ $u>0\quad \mbox{in}\quadΩ,$ $a(\nabla u)\cdot ν…
math.AP2015★ 1 cited
Generalized spectrum of the -Laplacian under a parametric boundary condition
Jamil Abreu, Gustavo Madeira
In this paper we study an eigenvalue problem for the so called -Laplace operator on a smooth bounded domain under a nonlinear Steklov type boundary condition, namely \begin{…