期刊
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
卷 196, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2020.111779
关键词
Doubly non local equation; Kirchhoff term; Choquard non-linearity with singular weights; Singular Adams-Moser inequality; Nehari manifold; Polyharmonic operator
In this work, we study the higher order Kirchhoff type Choquard equation (KC) involving a critical exponential non-linearity and singular weights. We prove the existence of solution to (KC) using Mountain pass Lemma in light of Moser-Trudinger and singular Adams-Moser inequalities. In the second part of the paper, using the Nehari manifold technique and minimization over its suitable subsets, we prove the existence of at least two solutions to the Kirchhoff type Choquard equation (P-lambda,P- M) involving convex-concave type non-linearity. (C) 2020 Elsevier Ltd. All rights reserved.
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