A NONLOCAL SIXTH ORDER PARABOLIC PROBLEM WITH NONLINEAR SOURCE

Lapa E.C. · Gulf Journal of Mathematics (2025) · DOI: 10.56947/gjom.v21i1.3524

Resumen

The purpose of this article is to study the existence of weak solutions for a class of nonlinear nonlocal Dirichlet parabolic problem involving the p(x)-Kirchhoff type triharmonic operator with a nonlinear source. We apply degree theory to operators of the type T + S + C, where T is maximal mono-tone, S is bounded pseudomonotone, and C is compact with D(T ) ⊆ D(C) and satisfies a sublinearity condition, to establish our result within the context of Sobolev spaces with variable exponents. © The Author(s) 2025.

Instituciones: Universidad Nacional Mayor de San Marcos