Multiple solutions to logarithmic Schrodinger equations with periodic potential

TL;DR

This paper investigates a class of logarithmic Schrödinger equations with periodic potentials, demonstrating the existence of infinitely many distinct solutions relevant to physical models.

Contribution

It establishes the existence of infinitely many solutions for logarithmic Schrödinger equations with periodic potentials, a novel result in this context.

Findings

Existence of infinitely many solutions

Solutions are geometrically distinct

Applicable to physically relevant models

Abstract

We study a class of logarithmic Schrodinger equations with periodic potential which come from physically relevant situations and obtain the existence of infinitely many geometrically distinct solutions.