124 citations · 318 across the 88 of their papers we have counts for
13 papers · 1 filter
Nontrivial solutions for a mixed boundary problem for Schrödinger equations with an external magnetic field
Claudianor Oliveira Alves, Rodrigo Cohen Mota Nemer, Sérgio Henrique Monari Soares
We study the existence of solutions for a class of nonlinear Schrödinger equations involving a magnetic field with mixed Dirichlet-Neumann boundary conditions. We use Lyusternik-Sh…
Soliton solutions for a class of quasilinear Schrödinger equations with a parameter
Claudianor O. Alves, Youjun Wang, Yaotian Shen
Using variational methods combined with perturbation arguments, we study the existence of nontrivial classical solution for the quasilinear Schrödinger equation \begin{equation*}\l…
Existence of blow-up solutions for a class of elliptic system with convection term
Claudianor O. Alves, Dragos-Patru Covei
The present paper concerns with the existence of blow-up solution for a class of elliptic system with convection term. Here, we prove a result involving sub and supersolution for a…
Existence of solutions for a class of singular elliptic systems with convection term
Claudianor O. Alves, Abdelkrim Moussaoui
We show the existence of positive solutions for a class of singular elliptic systems with convection term. The approach combines pseudomonotone operator theory, sub and supersoluti…
Existence of solution for a class of nonlocal elliptic problem via sub-supersolution method
Claudianor O. Alves, Dragos-Patru Covei
We show the existence of solution for some classes of nonlocal problems. Our proof combines the presence of sub and supersolution with the pseudomonotone operators theory.
Multiple solutions for a quasilinear Schrödinger equation on }
Claudianor O. Alves, Giovany M. Figueiredo
The multiplicity of positive weak solutions for a quasilinear Schrödinger equations in is established, where $L_p u\doteq ε^{p}Δ_…