Ferreira, JorgePiskin, ErhanShahrouzi, MohammadCordeiro, SebastiaoRaposo, Carlos Alberto2023-03-302023-03-302022-01-27Ferreira, 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. 1-13.1072-6691https://hdl.handle.net/10877/16513In 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.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalGlobal solutionWeak solutionsp-Laplacian inequalityStrong dissipationNoncylindrical domainArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.