Existence of global weak solutions for a p-Laplacian inequality with strong dissipation in noncylindrical domains
Date
2022-01-27
Authors
Ferreira, Jorge
Piskin, Erhan
Shahrouzi, Mohammad
Cordeiro, Sebastiao
Raposo, Carlos Alberto
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this work, we obtain global solutions for nonlinear inequalities of p-Laplacian type in noncylindrical domains, for the unilateral problem with strong dissipation uʺ - Δpu - Δu' - ƒ ≥ 0 in Q0, where Δp is the nonlinear p-Laplacian operator with 2 ≤ p < ∞, and Q0 is the noncylindrical domain. Our proof is based on a penalty argument by J. L. Lions and Faedo-Galerkin approximations.
Description
Keywords
Global solution, Weak solutions, p-Laplacian inequality, Strong dissipation, Noncylindrical domain
Citation
Ferreira, J., Pişkin, E., Shahrouzi, M., Cordeiro, S., & Raposo, C. A. (2022). Existence of global weak solutions for a p-Laplacian inequality with strong dissipation in noncylindrical domains. <i>Electronic Journal of Differential Equations, 2022</i>(09), pp. 1-13.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.