Existence of solutions for a class of elliptic systems in R<sup>N</sup> involving the p-Laplacian

Existence of solutions for a class of elliptic systems in R<sup>N</sup> involving the p-Laplacian

Using a variational approach, we study a class of nonlinear elliptic systems derived from a potential and involving the $p$-Laplacian. Under suitable assumptions on the nonlinearities, we show the existence of nontrivial solutions.

Bibliographic Details
Main Authors: Ali Djellit, Saadia Tas
Format: Article
Language:English
Published: Texas State University 2003-05-01
Series:Electronic Journal of Differential Equations
Subjects:
p-Laplacian
nonlinear elliptic system
mountain pass theorem
Palais-Smale condition
Online Access:http://ejde.math.txstate.edu/Volumes/2003/56/abstr.html
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spelling doaj-75b4400bcd15488d93c312179182125a2020-11-24T21:04:09ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912003-05-0120035618Existence of solutions for a class of elliptic systems in R<sup>N</sup> involving the p-LaplacianAli DjellitSaadia TasUsing a variational approach, we study a class of nonlinear elliptic systems derived from a potential and involving the $p$-Laplacian. Under suitable assumptions on the nonlinearities, we show the existence of nontrivial solutions. http://ejde.math.txstate.edu/Volumes/2003/56/abstr.htmlp-Laplaciannonlinear elliptic systemmountain pass theoremPalais-Smale condition
collection DOAJ
language English
format Article
sources DOAJ
author Ali Djellit
Saadia Tas
spellingShingle Ali Djellit
Saadia Tas
Existence of solutions for a class of elliptic systems in R<sup>N</sup> involving the p-Laplacian
Electronic Journal of Differential Equations
p-Laplacian
nonlinear elliptic system
mountain pass theorem
Palais-Smale condition
author_facet Ali Djellit
Saadia Tas
author_sort Ali Djellit
title Existence of solutions for a class of elliptic systems in R<sup>N</sup> involving the p-Laplacian
title_short Existence of solutions for a class of elliptic systems in R<sup>N</sup> involving the p-Laplacian
title_full Existence of solutions for a class of elliptic systems in R<sup>N</sup> involving the p-Laplacian
title_fullStr Existence of solutions for a class of elliptic systems in R<sup>N</sup> involving the p-Laplacian
title_full_unstemmed Existence of solutions for a class of elliptic systems in R<sup>N</sup> involving the p-Laplacian
title_sort existence of solutions for a class of elliptic systems in r<sup>n</sup> involving the p-laplacian
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2003-05-01
description Using a variational approach, we study a class of nonlinear elliptic systems derived from a potential and involving the $p$-Laplacian. Under suitable assumptions on the nonlinearities, we show the existence of nontrivial solutions.
topic p-Laplacian
nonlinear elliptic system
mountain pass theorem
Palais-Smale condition
url http://ejde.math.txstate.edu/Volumes/2003/56/abstr.html
work_keys_str_mv AT alidjellit existenceofsolutionsforaclassofellipticsystemsinrsupnsupinvolvingtheplaplacian
AT saadiatas existenceofsolutionsforaclassofellipticsystemsinrsupnsupinvolvingtheplaplacian
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