124 citations · 318 across the 88 of their papers we have counts for
8 papers · 2 filters
Existence of solution for a class of heat equation involving the 1-Laplacian operator
Claudianor O. Alves, Tahir Boudjerio
This paper concerns the existence of global solutions for the following class of heat equation involving the 1-Laplacian operator of the Dirichlet problem $$ \left\{ \begin{array}{…
A Berestycki-Lions type result for a class of degenerate elliptic problems involving the Grushin Operator
Claudianor O. Alves, Angelo R. F. de Holanda
In this work we study the existence of nontrivial solution for the following class of semilinear degenerate elliptic equations $$ -Δ_γ u + a(z)u = f(u) ~~ \mbox{in} ~~ \mathbb{R}^{…
Existence of normalized solutions for the planar Schrödinger-Poisson system with exponential critical nonlinearity
Claudianor O. Alves, Eduardo de S. Boër, Olímpio H. Miyagaki
In the present work we are concerned with the existence of normalized solutions to the following Schrödinger-Poisson System $$ \left\{ \begin{array}{ll} -Δu + λu + μ(\ln|\cdot|\ast…
Multiplicity of solutions for a class of quasilinear problems involving the -Laplacian operator with critical growth
Claudianor O. Alves, Anass Ourraoui, Marcos T. O. Pimenta
The aim of this paper is to establish two results about multiplicity of solutions to problems involving the Laplacian operator, with nonlinearities with critical growth. To be…
Multiple solutions for a class of quasilinear problems with double criticality
Karima Ait-Mahiout, Claudianor O. Alves, Prashanta Garain
We establish multiplicity results for the following class of quasilinear problems $$ \left\{ \begin{array}{l} -Δ_Φu=f(x,u) \quad \mbox{in} \quad Ω, \\ u=0 \quad \mbox{on} \quad \pa…
Multiplicity of normalized solutions for a Schrödinger equation with critical growth in
Claudianor O. Alves, Chao Ji, Olimpio H. Miyagaki
In this paper we study the multiplicity of normalized solutions to the following nonlinear Schrödinger equation with critical growth \begin{align*} \left\{ \begin{aligned} &-Δu=λu+…