Renormalized solutions to parabolic equations in time and space dependent anisotropic Musielak-Orlicz spaces in absence of Lavrentiev's phenomenon
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Publication:2631727
DOI10.1016/j.jde.2019.02.005zbMath1430.35123arXiv1807.06464OpenAlexW2883813278WikidataQ128350291 ScholiaQ128350291MaRDI QIDQ2631727
Anna Zatorska-Goldstein, Piotr Gwiazda, Iwona Skrzypczak
Publication date: 16 May 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.06464
Nonlinear parabolic equations (35K55) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Related Items (10)
Measure data elliptic problems with generalized Orlicz growth ⋮ The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth ⋮ On a range of exponents for absence of Lavrentiev phenomenon for double phase functionals ⋮ No Lavrentiev gap for some double phase integrals ⋮ Bloch estimates in non-doubling generalized Orlicz spaces ⋮ On renormalized solutions to elliptic inclusions with nonstandard growth ⋮ Recent developments in problems with nonstandard growth and nonuniform ellipticity ⋮ Entropy and renormalized solutions to the general nonlinear elliptic equations in Musielak-Orlicz spaces ⋮ Double-phase parabolic equations with variable growth and nonlinear sources ⋮ A fundamental condition for harmonic analysis in anisotropic generalized Orlicz spaces
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