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20132026
most citedMultiplicity and concentration behavior of positive solutions for a Schrodinger-Kirchhoff type problem via penalization method

61 citations · 121 across the 31 of their papers we have counts for

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Showing 2013 · math.APShow all

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math.AP2013★ 3 cited

Ground state solution for a Kirchhoff problem with exponential critical growth

Giovany M. Figueiredo, Uberlandio B. Severo

We establish the existence of a positive ground state solution for a Kirchhoff problem in involving critical exponential growth, that is, the nonlinearity behaves li…

math.AP2013★ 61 cited

Multiplicity and concentration behavior of positive solutions for a Schrodinger-Kirchhoff type problem via penalization method

Giovany M. Figueiredo, João R. Santos Júnior

In this paper we are concerned with questions of multiplicity and concentration behavior of positive solutions of the elliptic problem $$\left\{\begin{array}{rcl} \mathcal{L}_{\var…

math.AP2013

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_…

math.AP2013

Multiplicity of solutions for a NLS equations with magnetic fields in }

Claudianor O. Alves, Giovany M. Figueiredo

We investigate the multiplicity of nontrivial weak solutions for a class of complex equations. This class of problems are related with the existence of solitary waves for a nonline…

math.AP2013

Multiple solutions for a NLS equation with critical growth and magnetic field

Claudianor O. Alves, Giovany M. Figueiredo

In this paper, we are concerned with the multiplicity of nontrivial solutions for the following class of complex problems $$ (-i\nabla - A(μx))^{2}u= μ|u|^{q-2}u + |u|^{2^{*}-2}u \…

math.AP2013

Existence and multiplicity of solutions for a prescribed mean-curvature problem with critical growth

Giovany M. Figueiredo, Marcos T. O. Pimenta

In this work we study an existence and multiplicity result for the following prescribed mean-curvature problem with critical growth $$ \left\{\begin{array}{rl} -\mbox{div}\biggl(\f…

math.AP2013

Strauss- and Lions-type results for a class of Orlicz-Sobolev spaces and applications

Claudianor O. Alves, Giovany M. Figueiredo, Jefferson A. Santos

The main goal this work is to prove two results like Strauss and Lions for Orlicz-Sobolev spaces. After, we use these results for study the existence of solutions for a class of qu…