A Parabolic Problem of Kirchhoff Type with Gradient Term and Nonlinear Boundary Condition

Lapa E.C. · Annals of the University of Craiova, Mathematics and Computer Science Series (2025) · DOI: 10.52846/ami.v52i2.2025

Resumen

The object of this work is to study the existence of weak solutions for (p1 (x), p2 (x))-Laplacian parabolic Kirchhoff equation. We apply degree theory to operators of the type T + S + C, where T is maximal monotone, S is bounded pseudomonotone, and C is compact with D(T) ⸦ D(C) and satisfies a sublinearity condition, to get our result within the context of Sobolev spaces with variable exponents. © (2025), (Universitatea din Craiova). All right reserved.

Instituciones: Universidad Nacional Mayor de San Marcos