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Ghasem Alizadeh Afrouzi

Ghasem Alizadeh Afrouzi

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

Research

Title
EXISTENCE OF INFINITELY MANY SOLUTIONS FOR QUASILINEAR PROBLEMS WITH p(x)-BIHARMONIC OPERATOR
Type
JournalPaper
Keywords
Ricceri's variational principle; infinitely many solutions; Navier condition; p(x)-biharmonic operator.
Year
2015
Journal Electronic Journal of Differential Equations
DOI
Researchers Ghasem Alizadeh Afrouzi ، saead SHOKOOH

Abstract

By using critical point theory, we establish the existence of in- nitely many weak solutions for a class of Navier boundary-value problem depending on two parameters and involving the p(x)-biharmonic operator. Under an appropriate oscillatory behaviour of the nonlinearity and suitable assumptions on the variable exponent, we obtain a sequence of pairwise distinct solutions.