Nonlinear Diffusion Equation Involving a Generalized Laplacian Operator
DOI:
https://doi.org/10.52737/18291163-2026.18.06-1-16Keywords:
$p(b(u))$-Laplacian-Like Operator, Weak Solutions, Parabolic Problem, Gelfand Triple, Boundary Value ProblemsAbstract
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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