Open AccessExistence of solution for Dirichlet problem with p(x)-Laplacien
Author(s) -
Nimoun Moussaoui,
Lakhdar Elbouyahyaoui
Publication year - 2014
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.v33i2.24210
Subject(s) - mathematics , dirichlet problem , simple (philosophy) , dirichlet distribution , elliptic curve , mathematical analysis , pure mathematics , philosophy , boundary value problem , epistemology
In this paper we study an elliptic equation involving the p(x)-Laplacien operateur, for that equation we prove the existence of a non trivial weak solution. The proof relies on simple variational arguments based on the Mountain-Pass theorem
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