Eylem Ozturk, Julio D. Rossi
Abstract:
In this article we study the limit as p→ ∞ in the evolution problem
driven by the p-Laplacian with dynamical boundary conditions. We prove that the natural
energy functional associated with this problem converges to a limit in the sense of
Mosco convergence and as a consequence we obtain convergence of the solutions to the
evolution problems.
For the limit problem we show an interpretation in terms of optimal mass transportation
and provide examples of explicit solutions for some particular data.
Published October 6, 2021.
Math Subject Classifications: 35K20, 35K55, 35K92, 47J35.
Key Words: p-Laplacian; dynamical boundary conditions; Mosco convergence.
DOI: https://doi.org/10.58997/ejde.sp.01.o1
Show me the PDF file (346 K), TEX file for this article.
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Eylem Ozturk Department of Mathematics Hacettepe University 06800 Beytepe Ankara, Turkey email: eyturk1983@gmail.com |
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Julio D. Rossi Departamento de Matemática, FCEyN Universidad de Buenos Aires, Pabellon I Ciudad Universitaria (C1428BCW) Buenos Aires, Argentina email: jrossi@dm.uba.ar |
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