Eigenvalue Problem with Nonstandard Growth Conditions and Involving Concave and Convex Nonlinearities

In this paper, we are concerned with new phenomena which arise when we study some eigenvalue problem involving variable exponents. Variational method is employed to obtain some existence and multiplicity results.

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Bibliographic Details
Published inMediterranean journal of mathematics Vol. 11; no. 4; pp. 1149 - 1169
Main Author Aouaoui, Sami
Format Journal Article
LanguageEnglish
Published Basel Springer Basel 01.11.2014
Subjects
Mathematics
Mathematics and Statistics
Ekeland’s principle
35J20
convex–concave terms
58E05
35J62
mountain-Pass Theorem
energy functional
35D30
Critical point
variable exponent
eigenvalue problem
Online AccessGet full text
ISSN1660-5446
1660-5454
DOI10.1007/s00009-013-0333-6

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Summary:In this paper, we are concerned with new phenomena which arise when we study some eigenvalue problem involving variable exponents. Variational method is employed to obtain some existence and multiplicity results.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-013-0333-6