Weak solvability via Lagrange multipliers for Frictional antiplane contact problems of p(x)-Kirchhoff type

Author(s):

Eugenio Lapa *

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:
This paper is concerned with the existence and uniqueness of solutions for a class of frictional antiplane contact problems of p(x)-Kirchhoff type on a bounded domain of R2. Using an abstract Lagrange multiplier technique and the Schauder fixed point theorem we establish the existence of weak solutions. Imposingsome suitable monotonicity conditions on the datum f1 the uniqueness of the solution is obtained.
Keywords:

frictional antiplane contact problems , p(x)-Kirchhoff equation , Schauder fixed point theorem , uniqueness

Language:
English
Published:
Caspian Journal of Mathematical Sciences, Volume:12 Issue: 2, Summer Autumn 2023
Pages:
287 to 302
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