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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 2023 · math.APShow all

5 papers · 2 filters

math.AP2023

Existence of a positive solution for a class of Schrödinger logarithmic equations on exterior domains

Claudianor O. Alves, Ismael S. da Silva

In this paper we will prove the existence of a positive solution for a class of Schrödinger logarithmic equation of the form \begin{equation} \left\{\begin{aligned} -Δu &+ u =Q(x)u…

math.AP2023

[Existence of multiple solutions for a Schröndiger logarithmic equation

Claudianor O. Alves, Ismael S. da Silva

This paper concerns the existence of multiple solutions for a Schrödinger logarithmic equation of the form \begin{equation} \left\{\begin{aligned} -\varepsilon^2Δu + V(x)u & =u\log…

math.AP2023★ 2 cited

Multiple normalized solutions to a logarithmic Schrödinger equation via Lusternik-Schnirelmann category

Claudianor O. Alves, Chao Ji

In this paper our objective is to investigate the existence of multiple normalized solutions to the logarithmic Schrödinger equation given by \begin{align*} \left\{ \begin{aligned}…

math.AP2023

New minimax theorems for lower semicontinuous functions and applications

Claudianor O Alves, Giovanni Molica Bisci, Ismael S. da Silva

In this paper we prove a version of the Fountain Theorem for a class of nonsmooth functionals that are sum of a functional and a convex lower semicontinuous functional, and a…

math.AP2023

On existence of multiple normalized solutions to a class of elliptic problems in whole via penalization method

Claudianor O. Alves, Nguyen Van Thin

In this paper we study the existence of multiple normalized solutions to the following class of elliptic problems \begin{align*} \left\{ \begin{aligned} &-ε^2Δu+V(x)u=λu+f(u), \qua…