Existence of global weak solutions for a p-Laplacian inequality with strong dissipation in noncylindrical domains

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dc.contributor.authorFerreira, Jorge
dc.contributor.authorPiskin, Erhan
dc.contributor.authorShahrouzi, Mohammad
dc.contributor.authorCordeiro, Sebastiao
dc.contributor.authorRaposo, Carlos Alberto
dc.date.accessioned2023-03-30T18:23:27Z
dc.date.available2023-03-30T18:23:27Z
dc.date.issued2022-01-27
dc.description.abstractIn 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationFerreira, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16513
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectGlobal solution
dc.subjectWeak solutions
dc.subjectp-Laplacian inequality
dc.subjectStrong dissipation
dc.subjectNoncylindrical domain
dc.titleExistence of global weak solutions for a p-Laplacian inequality with strong dissipation in noncylindrical domains
dc.typeArticle

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