On the continuity of solutions of quasilinear parabolic equations with generalized Orlicz growth under non-logarithmic conditions-Reference-Cited by-同舟云学术

On the continuity of solutions of quasilinear parabolic equations with generalized Orlicz growth under non-logarithmic conditions

Published:2021-09-30 Issue: Volume: Page:
ISSN:0373-3114
Container-title:Annali di Matematica Pura ed Applicata (1923 -)
language:en
Short-container-title:Annali di Matematica

Author:

Skrypnik Igor I.,Voitovych Mykhailo V.

Funder

Ministry of Education and Science of Ukraine

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s10231-021-01161-y.pdf

Reference54 articles.

1. Alkhutov, Y.A., Krasheninnikova, O.V.: On the continuity of solutions of elliptic equations with a variable order of nonlinearity (Russian). Tr. Mat. Inst. Steklova, Differ. Uravn. i Din. Sist. 261, 7–15 (2008). Translation in Proc. Steklov Inst. Math. 261(1), 1–10 (2008)

2. Alkhutov, Y. A., Surnachev, M.D.: Behavior at a boundary point of solutions of the Dirichlet problem for the $$p(x)$$-Laplacian (Russian). Algebra i Analiz 31(2), 88–117 (2019). Translation in St. Petersburg Math. J. 31(2), 251–271 (2020)

3. Alkhutov, Y. A., Zhikov, V.V.: Hölder continuity of solutions of parabolic equations with variable nonlinearity exponent. Translation of Tr. Semin. im. I. G. Petrovskogo 28(Part I), 8–74 (2011). J. Math. Sci. (N.Y.) 179(3), 347–389 (2011)

4. Antontsev, S.N., Díaz, J.I., Shmarev, S.: Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics. In: Progress in Nonlinear Differential Equations and their Applications, vol. 48. Birkhauser Boston, Inc., Boston, MA (2002)

5. Antontsev, S., Zhikov, V.: Higher integrability for parabolic equations of $$p(x, t)$$-Laplacian type. Adv. Differential Equations 10(9), 1053–1080 (2005)

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