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20132025
most citedExistence of least energy nodal solution for a Schrödinger-Poisson system in bounded domains

124 citations · 318 across the 88 of their papers we have counts for

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Showing 2017Show all

12 papers · 1 filter

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

Existence of solution for a nonlocal dispersal model with nonlocal term via bifurcation theory

Claudianor O. Alves, Natan de Assis Lima, Marco A. S. Souto

In this paper we study the existence of solution for the following class of nonlocal problems \[ L_0u =u \left(λ- \int_ΩQ(x,y) |u(y)|^p dy \right) , \ \mbox{in} \ Ω, \] where $Ω\su…

math.AP2017

Existence of heteroclinic solution for a double well potential equation in an infinite cylinder of

Claudianor O. Alves

This paper concernes with the existence of heteroclinic solutions for the following class of elliptic equations $$ -Δ{u}+A(εx, y)V'(u)=0, \quad \mbox{in} \quad Ω, $$ where , $…

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

A Berestycki-Lions type result and applications

Claudianor O. Alves, Ronaldo C. Duarte, Marco A. S. Souto

In this paper we show an abstract theorem involving the existence of critical points for a functional , which permit us to prove the existence of solutions for a large class of…

math.AP2017

Ground state solutions for a semilinear elliptic problem with critical-subcritical growth

Claudianor O. Alves, Grey Ercole, Mario. D. Huamán Bolãnos

In this work, we study the of positive ground state solution for the semilinear elliptic problem $$ \left\{ \begin{array} [c]{ll}% -Δu=u^{p(x)-1},\quad u>0 & \mathrm{in}\,G\subsete…