Anisotropic parabolic problems with slowly or rapidly growing terms

DOI10.4064/cm134-1-5zbMath1295.35246arXiv1307.2337OpenAlexW2963269777MaRDI QIDQ5396866

Agnieszka Świerczewska-Gwiazda

Publication date: 3 February 2014

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.2337

zbMATH Keywords

maximal monotone graphMusielak-Orlicz spacesmodular convergencenonlinear parabolic inclusion

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs with multivalued right-hand sides (35R70) Initial-boundary value problems for second-order parabolic equations (35K20)

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A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces ⋮ Existence of renormalized solutions to elliptic equation in Musielak-Orlicz space ⋮ Renormalized solutions to nonlinear parabolic problems in generalized Musielak-Orlicz spaces ⋮ Some properties of Musielak spaces with only the log-Hölder continuity condition and application ⋮ Local Morrey estimate in Musielak-Orlicz-Sobolev space ⋮ Homogenization of nonlinear elliptic systems in nonreflexive Musielak–Orlicz spaces ⋮ On renormalized solutions to elliptic inclusions with nonstandard growth ⋮ Interior regularity of space derivatives to an evolutionary, symmetric \(\varphi\)-Laplacian ⋮ Well-posedness of parabolic equations in the non-reflexive and anisotropic Musielak-Orlicz spaces in the class of renormalized solutions ⋮ Parabolic equations in Musielak-Orlicz spaces with discontinuous in time \(N\)-function ⋮ Existence and homogenization of nonlinear elliptic systems in nonreflexive spaces

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