Work

Existence of solutions for nonlocal Schrödinger–Kirchhoff problems with critical Trudinger–Moser nonlinearity

Year: 2025

Type: article

Abstract: In this paper, we are concerned with solutions for nonlocal Schrödinger–Kirchhoff problems with critical Trudinger–Moser nonlinearity on a bounded domain with Lipschitz boundary. With the help of the minimax method, the fractional Trudinger–Moser inequality, Ekeland's variational principle, and other techniques, we establish an existence theorem for a nonnegative solution with positive energy to a class of nonlocal Schrödinger–Kirchhoff problems and an existence theorem for a nontrivial solution with negative energy to another class of nonlocal Schrödinger–Kirchhoff problems.

Source: Mathematische Nachrichten

DOI: 10.1002/mana.12013

Authors: Jin Liang, Zhi‐Cheng Xiong

Institution: Shanghai Jiao Tong University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: National Natural Science Foundation of China

Award: G2653036215