Gradient estimates for problems with Orlicz growth

DOI10.1016/j.na.2018.10.008zbMath1437.35289arXiv1805.11326OpenAlexW2805073487MaRDI QIDQ2309731

Iwona Skrzypczak

Publication date: 1 April 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.11326

zbMATH Keywords

Orlicz spacesMarcinkiewicz spacesLorentz spacessmoothness of solutionsgeneralization of the \(p\)-Laplacian

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Nonlinear elliptic equations (35J60)

Related Items (17)

Entropy solutions to a strongly nonlinear unilateral obstacle elliptic problem with Orlicz growth ⋮ Long-time behaviour of the solution to the Cauchy problem for degenerate parabolic equations with nonpower nonlinearities ⋮ Measure data elliptic problems with generalized Orlicz growth ⋮ Existence and regularity of solutions for nonlinear measure data problems with general growth ⋮ Unnamed Item ⋮ A note on uniqueness for $L^1$-data elliptic problems with {O}rlicz growth ⋮ Gradient estimates of very weak solutions to general quasilinear elliptic equations ⋮ Generalized superharmonic functions with strongly nonlinear operator ⋮ Regularizing effect of the lower-order terms in elliptic problems with Orlicz growth ⋮ Wolff potentials and measure data vectorial problems with Orlicz growth ⋮ Asymptotically regular operators in generalized Morrey spaces ⋮ Global gradient estimates of very weak solutions for a general class of quasilinear elliptic equations ⋮ Level-set inequalities on fractional maximal distribution functions and applications to regularity theory ⋮ On renormalized solutions to elliptic inclusions with nonstandard growth ⋮ Removable sets in elliptic equations with Musielak-Orlicz growth ⋮ Developments and perspectives in nonlinear potential theory ⋮ Maximal integrability for general elliptic problems with diffusive measures

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