3 papers
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.AP2020
On an Ambrosetti-Prodi type problem in
Claudianor O. Alves, Romildo N. de Lima, Alânnio B. Nóbrega
In this paper we study results of existence and non-existence of solutions for the following Ambrosetti-Prodi type problem $$ \left\{ \begin{array}{lcl} -Δu=P(x)\Big( g(u)+f(x)\Big…
math.AP2016
Existence of multi-bump solutions to biharmonic operator with critical exponential growth in
Alânnio B. Nóbrega, Denilson S. Pereira
Using variational methods, we establish existence of multi-bump solutions for the following class of problems $$ \left\{ \begin{array}{l} Δ^2 u +(λV(x)+1)u = f(u), \quad \mbox{in}…