Work

Ground state solutions of planar indefinite Schrödinger equation with supercritical exponential growth

Year: 2024

Type: article

Abstract: This work is concerned with the planar indefinite Schrödinger equation with nonlinearity $ f(x, t) $ has supercritical exponential growth on $ t $, which behaviors as $ \exp\left[\left(\beta+|x|^{\alpha}\right) t^{2}\right] $ with $ \beta $, $ \alpha>0 $. Previous results in this framework required $ f $ to be subcritical or critical exponential growth, thus missing the paramount case of supercritical exponential growth. The purpose of this paper is to fill this gap and obtain a ground state solution.

Source: Communications on Pure &amp Applied Analysis

DOI: 10.3934/cpaa.2025015

Authors: Limin Zhang, Jiuyang Wei, Lizhen Lai

Institution: Central South University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405380513

FWCI: 2.29

Cites: 24

Cited by: 3

Related to: 10