Vol. 18 No. 6 (2026): Nonlinear Diffusion Equation Involving a Generalized Laplacian Operator

Published: 2026-08-27

Articles

  • Articles

    Nonlinear Diffusion Equation Involving a Generalized Laplacian Operator

    Eugenio Cabanillas Lapa
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    Abstract

    This investigation focuses on identifying weak solutions for a nonlinear diffusion equation that includes $p(u)$-Laplacian-like operators. By imposing specific conditions on the initial value, we derive our result using a time-discrete approach in conjunction with a singular perturbation technique and Schauder's fixed-point theorem.

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