Sign-changing critical points via Sandwich Pair theorems

The Sandwich Pair theorems have presented very efficient ways to determine the existence of critical points or critical sequences for nonlinear differentiable functionals. In this paper, under rather weak hypotheses new relationships are established between sign-changing critical points and Sandwich...

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Bibliographic Details
Published inNonlinear analysis Vol. 93; pp. 109 - 121
Main Authors Chen, Linghua, Schechter, Martin, Zou, Wenming
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.12.2013
Subjects
Critical point
Existence theorems
Functionals
Joining
Linking
Mathematical analysis
Nonlinearity
Sandwich Pair
Semi-linear PDE
Sign-changing
Theorems
Weak (PS) sequence
Weak (PS) sequence
Sandwich Pair
Semi-linear PDE
Sign-changing
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Summary:The Sandwich Pair theorems have presented very efficient ways to determine the existence of critical points or critical sequences for nonlinear differentiable functionals. In this paper, under rather weak hypotheses new relationships are established between sign-changing critical points and Sandwich Pairs or Linking Sandwich Pairs. The abstract results are demonstrated by applications on semi-linear elliptic equations.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2013.07.013