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Ghasem Alizadeh Afrouzi

Ghasem Alizadeh Afrouzi

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 01135302463

Research

Title
QUALITATIVE ANALYSIS OF SOLUTIONS FOR A CLASS OF ANISOTROPIC ELLIPTIC EQUATIONS WITH VARIABLE EXPONENT
Type
JournalPaper
Keywords
degenerate anisotropic Sobolev spaces; variable exponent; Dirichlet boundary value condition; fountain theorem; Ekeland variational principle
Year
2016
Journal PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
DOI
Researchers Ghasem Alizadeh Afrouzi ، vicentiu radulescu ، maryam mirzapour

Abstract

We are concerned with a degenerate anisotropic problem. We first establish the existence of an unbounded sequence of weak solutions. We also obtain the existence of a non-trivial weak solution if the nonlinear term f has a special form. The proofs rely on the fountain theorem and Ekeland’s variational principle.