Weighted Lorentz estimates for parabolic equations with non-standard growth on rough domains

DOI10.1007/s00526-017-1273-yzbMath1391.35235OpenAlexW2767955406MaRDI QIDQ1688783

The Anh Bui, Xuan Thinh Duong

Publication date: 11 January 2018

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-017-1273-y

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) PDEs with low regular coefficients and/or low regular data (35R05) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (14)

Global Lorentz estimates with variable power to linear parabolic integro-differential equations ⋮ Weighted Lorentz estimate for asymptotically regular parabolic equations of \(p(x, t)\)-Laplacian type ⋮ Unnamed Item ⋮ Global gradient estimates for Dirichlet problems of elliptic operators with a BMO antisymmetric part ⋮ Weighted \(W^{1, p(\cdot)}\)-regularity for degenerate elliptic equations in Reifenberg domains ⋮ Global regularity estimates for Neumann problems of elliptic operators with coefficients having a BMO anti-symmetric part in NTA domains ⋮ Weighted variable Lorentz regularity for degenerate elliptic equations in Reifenberg domains ⋮ Global Calderón-Zygmund theory for parabolic \(p\)-Laplacian system: the case \(1 < p \leq \frac{ 2 n}{ n + 2} \) ⋮ Lorentz estimate with a variable power for parabolic obstacle problems with non-standard growths ⋮ Weighted gradient estimates for elliptic problems with Neumann boundary conditions in Lipschitz and (semi-)convex domains ⋮ Weighted global regularity estimates for elliptic problems with Robin boundary conditions in Lipschitz domains ⋮ The \(W^{1,2}_{( p,q )}\)-solvability for a class of fully nonlinear parabolic equations ⋮ End point gradient estimates for quasilinear parabolic equations with variable exponent growth on nonsmooth domains ⋮ Global higher integrability for symmetric \(p(x, t)\)-Laplacian system

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