Polyharmonic Kirchhoff problems involving exponential non-linearity of Choquard type with singular weights

被引：9

作者：

Arora, R. ^{[1
]}

Giacomoni, J. ^{[1
]}

Mukherjee, T. ^{[2
]}

Sreenadh, K. ^{[3
]}

机构：

[1] LMAP UMR E2S UPPA CNRS 5142, Bat IPRA,Ave Univ, F-64013 Pau, France

[2] TIFR, Ctr Applicable Math, Bangalore, Karnataka, India

[3] Indian Inst Technol Delhi, Dept Math, New Delhi 110016, India

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 196卷

关键词：

Doubly non local equation; Kirchhoff term; Choquard non-linearity with singular weights; Singular Adams-Moser inequality; Nehari manifold; Polyharmonic operator; GROUND-STATE SOLUTIONS; SEMILINEAR ELLIPTIC EQUATION; POSITIVE SOLUTIONS; SCHRODINGER-EQUATION; NONTRIVIAL SOLUTIONS; NEHARI MANIFOLD; EXISTENCE;

D O I：

10.1016/j.na.2020.111779

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：24

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