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 (Pλ,M) below. © 2019 Elsevier Ltd

Tuhina Mukherjee

Department of Mathematics

IIT Jodhpur

R. Arora

J. Giacomoni

K. Sreenadh

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Journal	Data powered by TypesetNonlinear Analysis, Theory, Methods and Applications
Publisher	Data powered by TypesetElsevier Ltd
ISSN	0362546X