The Existence of a Nontrivial Solution for a -Kirchhoff Type Elliptic Equation in-Reference-Cited by-同舟云学术

The Existence of a Nontrivial Solution for a -Kirchhoff Type Elliptic Equation in

Published:2013 Issue: Volume:2013 Page:1-6
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Xiu Zonghu¹²^ORCID

Affiliation:

1. Science and Information College, Qingdao Agricultural University, Qingdao 266109, China

2. College of Science, Hohai University, Nanjing 210098, China

Abstract

Using Mountain Pass lemma, under some appropriate assumptions, we establish the existence of one nontrivial solution for a class ofp-Kirchhoff-type elliptic equations in .

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/281949.pdf

Reference17 articles.

1. Existence and multiplicity of positive solutions for the p-Laplacian with nonlocal coefficient

2. On a p-Kirchhoff equation via Krasnoselskii’s genus

3. On an elliptic equation of p-Kirchhoff type via variational methods

4. On a nonlocal elliptic system of p-Kirchhoff-type under Neumann boundary condition

5. Multiple nontrivial solutions to a -Kirchhoff equation

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