FRICTIONAL CONTACT PROBLEMS INVOLVING P(X)-LAPLACIAN-LIKE OPERATORS

Eugenio Cabanillas L. · Turkish World Mathematical Society Journal of Applied and Engineering Mathematics (2024)

Resumen

This article is dedicated to studying a class of frictional contact problems involving the p(x)-Laplacian-like operator, on a bounded domain Ω ⊆ R2. Using an abstract Lagrange multiplier technique and the Schauder fixed point theorem we establish the existence of a weak solution. Furthermore, we also obtain the uniqueness of the solution assuming that the datum f1 satisfies a suitable monotonicity condition. The results here extend earlier theorems due to Cojocaru- Matei to the quasilinear case, with semilinearity f1. © Işık University, Department of Mathematics, 2024

Instituciones: Universidad Nacional Mayor de San Marcos