Work

Nonlocal problem with critical exponential nonlinearity of the convolution type: A non‐resonant case

Year: 2025

Type: article

Abstract: In this paper, we study the following class of weighted Choquard equations: where is a bounded domain with smooth boundary, and is a parameter. We assume that is a real‐valued continuous function satisfying critical exponential growth in the Trudinger–Moser sense, and is the primitive of . Let be a positive real‐valued continuous weight, which can be singular at zero. Our main goal is to prove the existence of a nontrivial solution for all parameter values except when coincides with any of the eigenvalues of the operator .

Source: Mathematische Nachrichten

DOI: 10.1002/mana.202400383

Authors: Suman Kanungo, Pawan Kumar Mishra

Institution: Indian Institute of Technology Bhilai

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Council of Scientific and Industrial Research, India, Science and Engineering Research Board

Awards: G3096079661, G4167521128