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Title EXISTENCE AND NON-EXISTENCE OF SOLUTIONS FOR A p(x)-BIHARMONIC PROBLEM
Type JournalPaper
Keywords p(x)-Biharmonic; variable exponent; critical points; minimum principle; fountain theorem; dual fountain theorem.
Abstract In this article, we study the following problem with Navier boundary conditions (jujp(x)􀀀2u) + jujp(x)􀀀2u = jujq(x)􀀀2u + juj (x)􀀀2u in ; u = u = 0 on @ : where is a bounded domain in RN with smooth boundary @ , N  1. p(x); q(x) and (x) are continuous functions on ,  and  are parameters. Using variational methods, we establish some existence and non-existence results of solutions for this problem.
Researchers CHUNG CHUNG (Third Researcher), maryam mirzapour (Second Researcher), Ghasem Alizadeh Afrouzi (First Researcher)