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arXiv · 1810.00583

n-Kirchhoff Choquard equations with exponenetial nonlinearity

Rakesh Arora·Jacques Giacomoni·Tuhina Mukherjee·Konijeti Sreenadh
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Abstract

This article deals with the study of the following Kirchhoff equation with exponential nonlinearity of Choquard type (see $(KC)$ below). We use the variational method in the light of Moser-Trudinger inequality to show the existence of weak solutions to $(KC)$. 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 $(\mathcal{P}_{\la,M})$ below.

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Rakesh Arora, Jacques Giacomoni, Tuhina Mukherjee, Konijeti Sreenadh. 2018-10-01. n-Kirchhoff Choquard equations with exponenetial nonlinearity. https://arxiv.org/abs/1810.00583

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