Existence of solutions for eigenvalue problems with nonstandard growth conditions

We prove the existence of weak solutions for some eigenvalue problems involving variable exponents. Our main tool is critical point theory.

Bibliographic Details
Main Author: Sami Aouaoui
Format: Article
Language:English
Published: Texas State University 2013-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/176/abstr.html
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author Sami Aouaoui
author_facet Sami Aouaoui
author_sort Sami Aouaoui
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description We prove the existence of weak solutions for some eigenvalue problems involving variable exponents. Our main tool is critical point theory.
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spelling doaj.art-cf34c4cdc0334f15b59ac9513918bfc52022-12-22T00:15:00ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-07-012013176,114Existence of solutions for eigenvalue problems with nonstandard growth conditionsSami AouaouiWe prove the existence of weak solutions for some eigenvalue problems involving variable exponents. Our main tool is critical point theory.http://ejde.math.txstate.edu/Volumes/2013/176/abstr.htmlCritical pointenergy functionaleigenvalue problemvariable exponentEkeland's lemma
spellingShingle Sami Aouaoui
Existence of solutions for eigenvalue problems with nonstandard growth conditions
Electronic Journal of Differential Equations
Critical point
energy functional
eigenvalue problem
variable exponent
Ekeland's lemma
title Existence of solutions for eigenvalue problems with nonstandard growth conditions
title_full Existence of solutions for eigenvalue problems with nonstandard growth conditions
title_fullStr Existence of solutions for eigenvalue problems with nonstandard growth conditions
title_full_unstemmed Existence of solutions for eigenvalue problems with nonstandard growth conditions
title_short Existence of solutions for eigenvalue problems with nonstandard growth conditions
title_sort existence of solutions for eigenvalue problems with nonstandard growth conditions
topic Critical point
energy functional
eigenvalue problem
variable exponent
Ekeland's lemma
url http://ejde.math.txstate.edu/Volumes/2013/176/abstr.html
work_keys_str_mv AT samiaouaoui existenceofsolutionsforeigenvalueproblemswithnonstandardgrowthconditions