Nontrivial solutions for Kirchhoff type equations via Morse theory

Jijiang Sun; Shiwang Ma

doi:10.3934/cpaa.2014.13.483

Article Contents

2014, Volume 13, Issue 2: 483-494. Doi: 10.3934/cpaa.2014.13.483

This issue Previous Article Next Article Schrödinger-like operators and the eikonal equation

Nontrivial solutions for Kirchhoff type equations via Morse theory

Jijiang Sun^1, and
Shiwang Ma^1,

1.
School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071

Received: February 29, 2012

Revised: July 31, 2013

Published: February 2014

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Abstract

In this paper, the existence of nontrivial solutions is obtained for a class of Kirchhoff type problems with Dirichlet boundary conditions by computing the critical groups and Morse theory.

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Mathematics Subject Classification: Primary: 35J60; Secondary: 58E05, 47J30, 35J20.

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References

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