Lipschitz regularity for viscosity solutions to parabolic $${\varvec{p(x,t)}}$$ p ( x , t ) -Laplacian equations on Riemannian manifolds

Author:

Kim Soojung

Funder

National Research Foundation of Korea

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference46 articles.

1. Acerbi, E., Mingione, G.: Regularity results for stationary electro-rheological fluid. Arch. Ration. Mech. Anal. 164(3), 213–259 (2002)

2. Acerbi, E., Mingione, G., Seregin, G.A.: Regularity results for parabolic systems related to a class of non-Newtonian fluids. Ann. Inst. H. Poincaré Anal. Non Linéaire 21, 25–60 (2004)

3. Antontsev, S., Shmarev, S.: Anisotropic parabolic equations with variable nonlinearity. Publ. Mat. 53, 355–399 (2009)

4. Antontsev, S., Shmarev, S.: Evolution PDEs with Nonstandard Growth Conditions. Atlantis Press, Paris (2015)

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

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