Existence and multiplicity of solutions for anisotropic elliptic systems with non-standard growth conditions

In this article, we study the existence and multiplicity of solutions for a class of anisotropic elliptic systems with non-standard growth conditions. Our results extend the results in El Hamidi [9] to the anisotropic case.

Bibliographic Details
Main Authors: Ghasem A. Afrouzi, Nguyen Thanh Chung, Somayeh Mahdavi
Format: Article
Language:English
Published: Texas State University 2012-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/32/abstr.html
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author Ghasem A. Afrouzi
Nguyen Thanh Chung
Somayeh Mahdavi
author_facet Ghasem A. Afrouzi
Nguyen Thanh Chung
Somayeh Mahdavi
author_sort Ghasem A. Afrouzi
collection DOAJ
description In this article, we study the existence and multiplicity of solutions for a class of anisotropic elliptic systems with non-standard growth conditions. Our results extend the results in El Hamidi [9] to the anisotropic case.
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spelling doaj.art-b3562f2fcf684f05b3c3e6572e86e3202022-12-22T03:16:49ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912012-02-01201232,115Existence and multiplicity of solutions for anisotropic elliptic systems with non-standard growth conditionsGhasem A. AfrouziNguyen Thanh ChungSomayeh MahdaviIn this article, we study the existence and multiplicity of solutions for a class of anisotropic elliptic systems with non-standard growth conditions. Our results extend the results in El Hamidi [9] to the anisotropic case.http://ejde.math.txstate.edu/Volumes/2012/32/abstr.htmlAnisotropic elliptic systemnon-standard growth conditionvariational methodexistencemultiplicity
spellingShingle Ghasem A. Afrouzi
Nguyen Thanh Chung
Somayeh Mahdavi
Existence and multiplicity of solutions for anisotropic elliptic systems with non-standard growth conditions
Electronic Journal of Differential Equations
Anisotropic elliptic system
non-standard growth condition
variational method
existence
multiplicity
title Existence and multiplicity of solutions for anisotropic elliptic systems with non-standard growth conditions
title_full Existence and multiplicity of solutions for anisotropic elliptic systems with non-standard growth conditions
title_fullStr Existence and multiplicity of solutions for anisotropic elliptic systems with non-standard growth conditions
title_full_unstemmed Existence and multiplicity of solutions for anisotropic elliptic systems with non-standard growth conditions
title_short Existence and multiplicity of solutions for anisotropic elliptic systems with non-standard growth conditions
title_sort existence and multiplicity of solutions for anisotropic elliptic systems with non standard growth conditions
topic Anisotropic elliptic system
non-standard growth condition
variational method
existence
multiplicity
url http://ejde.math.txstate.edu/Volumes/2012/32/abstr.html
work_keys_str_mv AT ghasemaafrouzi existenceandmultiplicityofsolutionsforanisotropicellipticsystemswithnonstandardgrowthconditions
AT nguyenthanhchung existenceandmultiplicityofsolutionsforanisotropicellipticsystemswithnonstandardgrowthconditions
AT somayehmahdavi existenceandmultiplicityofsolutionsforanisotropicellipticsystemswithnonstandardgrowthconditions