n-Kirchhoff Choquard equations with exponenetial nonlinearity
Analysis of PDEs
2018-10-02 v1
Abstract
This article deals with the study of the following Kirchhoff equation with exponential nonlinearity of Choquard type (see below). We use the variational method in the light of Moser-Trudinger inequality to show the existence of weak solutions to . Moreover, analyzing the fibering maps and minimizing the energy functional over suitable subsets of the Nehari manifold, we prove existence and multiplicity of weak solutions to convex-concave problem below.
Cite
@article{arxiv.1810.00583,
title = {n-Kirchhoff Choquard equations with exponenetial nonlinearity},
author = {Rakesh Arora and Jacques Giacomoni and Tuhina Mukherjee and Konijeti Sreenadh},
journal= {arXiv preprint arXiv:1810.00583},
year = {2018}
}