Multiple positive solutions for Kirchhoff type problems with singularity

Xing Liu; Yijing Sun

doi:10.3934/cpaa.2013.12.721

Article Contents

2013, Volume 12, Issue 2: 721-733. Doi: 10.3934/cpaa.2013.12.721

This issue Previous Article Median values, 1-harmonic functions, and functions of least gradient Next Article Long-time dynamics of the parabolic $p$-Laplacian equation

Multiple positive solutions for Kirchhoff type problems with singularity

Xing Liu^1, and
Yijing Sun^2,

1.
Department of Mathematics, University of Chinese Academy of Sciences, Beijing 100049, P.R. China
2.
Department of Mathematics, Graduate University of Chinese Academy of Sciences, Beijing 100049

Received: June 30, 2011

Revised: April 30, 2012

Published: February 2013

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Abstract

A class of Kirchhoff type problems containing both singular and superlinear terms is considered in a bounded domain in $R^3$: multiplicity results are obtained by variational methods.

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Mathematics Subject Classification: Primary: 35J75, 35J20; Secondary: 35J60.

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