Concentrating solutions for a fractional p-Laplacian logarithmic Schrödinger equation-Reference-Cited by-同舟云学术

Concentrating solutions for a fractional p-Laplacian logarithmic Schrödinger equation

Published:2023-10-26 Issue:02 Volume:22 Page:311-349
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

Alves Claudianor O.¹^ORCID,Ambrosio Vincenzo²^ORCID

Affiliation:

1. Universidade Federal de Campina Grande, Unidade Acadêmica de Matemática, CEP 58429-900 Campina Grande, Paraíba, Brazil

2. Dipartimento di Ingegneria Industriale e Scienze Matematiche, Università Politecnica delle Marche, Via Brecce Bianche, 12, 60131 Ancona, Italy

Abstract

We consider the following fractional [Formula: see text]-Laplacian logarithmic Schrödinger equation: [Formula: see text] where [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] is the fractional [Formula: see text]-Laplacian operator, [Formula: see text] is a continuous potential satisfying a local condition. By applying suitable variational arguments, we analyze the existence and concentration of solutions as [Formula: see text] for the above problem.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530523500288

Reference44 articles.

1. Existence and concentration of positive solutions for a Schrödinger logarithmic equation

2. Existence and concentration of positive solutions for a logarithmic Schrödinger equation via penalization method

3. Multi-peak positive solutions for a logarithmic Schrödinger equation via variational methods

4. Existence and concentration of solution for a class of fractional elliptic equation in $$\mathbb {R}^N$$ R N via penalization method

5. Dual variational methods in critical point theory and applications