16 citations · 31 across the 12 of their papers we have counts for
11 papers · 1 filter
A critical nonlinear fractional elliptic equation with saddle-like potentical in
Claudianor O. Alves, Olimpio H. Miyagaki
In this paper, we study the existence of positive solution for the following class of fractional elliptic equation $$ ε^{2s} (-Δ)^{s}{u}+V(z)u=λ|u|^{q-2}u+|u|^{2^{*}_{s}-2}u\,\,\,…
Multiplicity and concentration behavior of solutions for a quasilinear problem involving -functions via penalization method
Claudianor O. Alves, Ailton R. Silva
In this work, we study the existence, multiplicity and concentration of positive solutions for the following class of quasilinear problem: \[ - Δ_Φu + V(εx)ϕ(\vert u\vert)u = f(u)\…
Existence of positive solution for a nonlinear elliptic equation with saddle-like potential and nonlinearity with exponential critical growth in
Claudianor O. Alves
In this paper, we use variational methods to prove the existence of positive solution for the following class of elliptic equation $$ -ε^{2}Δ{u}+V(z)u=f(u) \,\,\, \mbox{in} \,\,\,…
Blow-up solutions for a Blow-up solutions for a Blow-up solutions for a -Laplacian elliptic equation of logistic type with singular nonlinearity
Claudianor O. Alves, Carlos A. Santos, Jiazheng Zhou
In this paper, we deal with existence, uniqueness and exact rate of boundary behavior of blow-up solutions for a class of logistic type quasilinear problem in a smooth bounded doma…
Multiple Sign Changing Radially Symmetric Solutions in a General Class of Quasilinear Elliptic Equations
Claudianor O. Alves, J. V. A. Gonçalves, K. O. Silva
In this paper we prove that the equation , where are given real numbers, is a suit…
Existence of positive multi-bump solutions for a Schrödinger-Poisson system in
Claudianor O. Alves, Minbo Yang
In this paper we are going to study a class of Schrödinger-Poisson system $$ \left\{ \begin{array}{ll} - Δu + (λa(x)+1)u+ ϕu = f(u) \mbox{ in } \,\,\, \mathbb{R}^{3},\\ -Δϕ=u^2 \mb…