124 citations · 318 across the 88 of their papers we have counts for
8 papers · 2 filters
Multiplicity of multi-bump type nodal solutions for a class of elliptic problems with exponential critical growth in
Claudianor O. Alves, Denilson S. Pereira
In this paper, we establish the existence and multiplicity of multi-bump nodal solutions for the following class of problems $$ -Δu+(λV(x)+1)u=f(u),~~\mbox{in}~~\mathbb{R}^2, $$ wh…
Multiplicity of solutions of some quasilinear equations in with variable exponents and concave-convex nonlinearities
Claudianor O. Alves, José L. P. Barreiro, José V. A. Gonçalves
In this paper, we prove multiplicity of solutions for a class of quasilinear problems in involving variable exponents and nonlinearities of concave-convex type.…
Multiple solutions for a class of quasilinear problems involving variable exponents
Claudianor O. Alves, José L. P. Barreiro
In this paper we prove the multiplicity of solutions for a class of quasilinear problems in involving variable exponents. The main tool used is in the proof are…
The use of the Morse theory to estimate the number of nontrivial solutions of a nonlinear Schrödinger equation with magnetic field
Claudianor O. Alves, Rodrigo C. M. Nemer, Sérgio H. M. Soares
Based on some ideas introduced by Benci and Cerami \cite{benci-cerami_calvar}, we obtain an abstract result that establishes a version of the Morse relations. Afterward, we use thi…
A sign-changing solution for the Schrödinger-Poisson equation
Claudianor O. Alves, Marco A. S. Souto, Sérgio H. M. Soares
We find a sign-changing solution for a class of Schrödinger-Poisson system in as an existence result by minimization in a closed subset containing all the sign-chang…
A Sub-Supersolution Approach for a Quasilinear Kirchhoff Equation
Claudianor O. Alves, Francisco Julio S. A. Corrêa
In this paper we establish an existence result for a quasilinear Kirchhoff equation via a sub and supersolution approach, by using the pseudomonotone operators theory.