On the sub-supersolution method for [InlineEquation not available: see fulltext.]-Kirchhoff type equations

This paper deals with the sub-supersolution method for the [InlineEquation not available: see fulltext.]-Kirchhoff type equations. A sub-supersolution principle for the Dirichlet problems involving [InlineEquation not available: see fulltext.]-Kirchhoff is established. A strong comparison theorem fo...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2012; p. 1
Main Authors Han, Xiaoling, Dai, Guowei
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.12.2012
Subjects
Mathematics
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Summary:This paper deals with the sub-supersolution method for the [InlineEquation not available: see fulltext.]-Kirchhoff type equations. A sub-supersolution principle for the Dirichlet problems involving [InlineEquation not available: see fulltext.]-Kirchhoff is established. A strong comparison theorem for the [InlineEquation not available: see fulltext.]-Kirchhoff type equations is presented. We also give some applications of the abstract theorems obtained in this paper to the eigenvalue problems for the [InlineEquation not available: see fulltext.]-Kirchhoff type equation. MSC: 35D05, 35D10, 35J60.[PUBLICATION ABSTRACT]
ISSN:1025-5834
1029-242X
DOI:10.1186/1029-242X-2012-283