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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
EXISTENCE OF A POSITIVE SOLUTION FOR SUPERLINEAR LAPLACIAN EQUATION VIA MOUNTAIN PASS THEOREM
Type
JournalPaper
Keywords
Laplacian equation; Postive solution; Cerami condition; Mountain pass theorem.
Year
2020
Journal TWMS Journal of Applied and Engineering Mathematics
DOI
Researchers Alireza Keyhan Far ، hashem rasouli ، Ghasem Alizadeh Afrouzi

Abstract

In this paper, we are going to show a nonlinear laplacian equation with the Dirichlet boundary value problems. At fi rst, we show the equation has a nontrivial solution. next, using strong maximal principle, Cerami condition and a variation of the mountain pass theorem help us to prove critical point of functional I is a positive solution (414).