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20032026
most citedSciPy 1.0--Fundamental Algorithms for Scientific Computing in Python

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math.AP2024★ 1 cited

Upper semicontinuity for a class of nonlocal evolution equations with Neumann condition

Flank D. M. Bezerra, Silvia Sastre-Gomez, Severino H. da Silva

In this paper we consider the following nonlocal autonomous evolution equation in a bounded domain in \[ \partial_t u(x,t) =- h(x)u(x,t) + g \Big(\int_Ω J(x,y)u(…

math.AP2021★ 7 cited

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}{…

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.AP2019

A nonhomogeneous critical Kirchhoff-Schrödinger type equation in involving vanishing potentials

Francisco S. Albuquerque, Marcelo C. Ferreira

In this paper we establish the existence of mountain pass and negative energy weak solutions for a Kirchhoff-Schrödinger type problem in involving a critical nonlinea…

math.AP2018★ 2 cited

A minimum problem with free boundary and subcritical growth in Orlicz spaces

Jun Zheng, Leandro S. Tavares, Claudianor O. Alves

The aim of this paper is to study the heterogeneous optimization problem \begin{align*} \mathcal {J}(u)=\int_Ω(G(|\nabla u|)+qF(u^+)+hu+λ_{+}χ_{\{u>0\}} )\text{d}x\rightarrow\text{…

math.AP2018

Existence of ground state solution and concentration of maxima for a class of indefinite variational problems

Claudianor O. Alves, Geilson F. Germano

In this paper we study the existence of ground state solution and concentration of maxima for a class of strongly indefinite problem like $$ \left\{\begin{array}{l} -Δu+V(x)u=A(εx)…

math.AP2017

Solitary waves for a class of generalized Kadomtsev-Petviashvili equation in with positive and zero mass

Claudianor O. Alves, Olímpio H. Miyagaki, Alessio Pomponio

In this paper we use variational methods to establish a Berestycki-Lions type result for a class of generalized Kadomtsev-Petviashvili equation in . The positive and…

math.AP2017★ 4 cited

Asymptotic behavior as of least energy solutions of a -Laplacian problem

Claudianor Alves, Grey Ercole, Gilberto de Assis Pereira

\[ \left\{ \begin{array} [c]{lll} -\left( Δ_{p}+Δ_{q(p)}\right) u=λ_{p}\left\vert u(x_{u})\right\vert ^{p-2}u(x_{u})δ_{x_{u}} & \mathrm{in} & Ω\\ u=0 & \mathrm{on} & \partialΩ, \en…

math.AP2017★ 2 cited

Minimization of quotients with variable exponents

Claudianor O. Alves, Mario Daniel H. Bolaños, Grey Ercole

Let be a bounded domain of , and We describe the asymptotic behavior of the minimizers of the…

math.AP2017

Existence of solution for a class of quasilinear problem in Orlicz-Sobolev space without -condition

Claudianor O. Alves, Edcarlos D. Silva, Marcos T. O. Pimenta

\noindent In this paper we study existence of solution for a class of problem of the type $$ \left\{ \begin{array}{ll} -Δ_Φ{u}=f(u), \quad \mbox{in} \quad Ωu=0, \quad \mbox{on} \qu…

math.AP2017

On existence and concentration of solutions to a class of quasilinear problems involving the Laplace operator

C. O. Alves, M. T. O. Pimenta

In this work we use variational methods to prove results on existence and concentration of solutions to a problem in involving the Laplacian operator. A thorough…

math.AP2016★ 8 cited

Existence and multiplicity of solutions for a nonlinear Schrödinger equation with non-local regional diffusion

Claudianor O. Alves, César E. Torres Ledesma

In this article we are interested in the following non-linear Schrödinger equation with non-local regional diffusion $$ (-Δ)_{ρ_ε}^αu + u = f(u) \hbox{ in } \mathbb{R}^n, \quad u \…

math.AP2016

Existence and concentration of solution for a non-local regional Schrödinger equation with competing potentials

Claudianor O. Alves, César E. Torres Ledesma

In this paper, we study the existence and concentration phenomena of solutions for the following non-local regional Schrödinger equation $$ \left\{ \begin{array}{l} ε^{2α}(-Δ)_ρ^α…

math.AP2016★ 1 cited

Singularly perturbed critical Choquard equations

Claudianor O. Alves, Fashun Gao, Marco Squassina +1

In this paper we study the semiclassical limit for the singularly perturbed Choquard equation $$ -\vr^2Δu +V(x)u =\vr^{μ-3}\Big(\int_{\R^3} \frac{Q(y)G(u(y))}{|x-y|^μ}dy\Big)Q(x)g(…

math.AP2016★ 8 cited

Existence, regularity and concentration phenomenon of nontrivial solitary waves for a class of Generalized Kadomtsev-Petviashvili (GKP) equation in

Claudianor O. Alves, Olimpio H. Miyagaki

In this paper we establish some results concerning the existence, regularity and concentration phenomenon of nontrivial solitary waves for a Generalized Kadomtsev-Petviashvili (GKP…

math.AP2016★ 4 cited

Fractional Schrodinger-Poisson Equations With General Nonlinearities

Ronaldo C. Duarte, Marco A. S. Souto

In this paper we investigate the existence of positive solutions and ground state solution for a class of fractional Schrödinger-Poisson equations in with general non…

math.AP2016

Existence and regularity of solutions for a class of singular (p(x),q(x))- Laplacian systems

Claudianor O. Alves, Abdelkrim Moussaoui

In this paper we study the existence of positive smooth solutions for a class of singular (p(x),q(x))- Laplacian systems by using sub and supersolution methods.

math.AP2016★ 3 cited

Existence of multi-bump solutions for a class of elliptic problems involving the biharmonic operator

Claudianor O. Alves, Alânnio B. Nóbrega

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}…

math.AP2016★ 23 cited

Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in

Claudianor O. Alves, Daniele Cassani, Cristina Tarsi +1

We study the following singularly perturbed nonlocal Schrödinger equation $$ -\vr^2Δu +V(x)u =\vr^{μ-2}\Big[\frac{1}{|x|^μ}\ast F(u)\Big]f(u) \quad \mbox{in} \quad \R^2, $$ where $…

math.AP2015★ 1 cited

Existence of solutions for a nonlinear Choquard equation with potential vanishing at infinity

Claudianor O. Alves, Giovany M. Figueiredo, Minbo Yang

We study the following class of nonlinear Choquard equation, $$ -Δu +V(x)u =\Big( \frac{1}{|x|^μ}\ast F(u)\Big)f(u) \quad \mbox{in} \quad \R^N, $$ where , , is…

math.AP2015★ 1 cited

Multi-bump solutions for Choquard equation with deepening potential well

Claudianor O. Alves, Alânnio B. Nóbrega, Minbo Yang

We study the existence of multi-bump solutions to Choquard equation $$ \begin{array}{ll} -Δu + (λa(x)+1)u=\displaystyle\big(\frac{1}{|x|^μ}\ast |u|^p\big)|u|^{p-2}u \mbox{ in } \,\…

math.AP2015★ 3 cited

Existence and concentration of solution for a class of fractional elliptic equation in via penalization method

Claudianor O. Alves, Olimpio H. Miyagaki

In this paper, we study the existence and concentration of positive solution for the following class of fractional elliptic equation $$ ε^{2s} (-Δ)^{s}{u}+V(z)u=f(u)\,\,\, \mbox{in…

math.AP2015

Multi-bump solutions for a Kirchhoff problem type

Claudianor O. Alves, Giovany M. Figueiredo

In this paper, we are going to study the existence of solution for the following Kirchhoff problem $$ \left\{ \begin{array}{l} M\biggl(\displaystyle\int_{\mathbb{R}^{3}}|\nabla u|^…

math.AP2015★ 1 cited

Multiple solutions for a inclusion quasilinear problem with non-homogeneous boundary condition through Orlicz Sobolev spaces

Rodrigo C. M. Nemer, Jefferson A. Santos

In this work we estend a recent result of Kristály, Marzantowicz and Varga concerning the existence of three critical points certain non-smooth functionals. Using this result, we g…