Gradient regularity for quasilinear elliptic Dirichlet problems in the plane

DOI10.1016/j.na.2016.08.005zbMath1353.35164OpenAlexW2518458344MaRDI QIDQ326787

Andrea Cianchi, Angela Alberico, Carlo Sbordone

Publication date: 12 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.na.2016.08.005

zbMATH Keywords

Orlicz spacesquasilinear elliptic equationsrearrangement-invariant spacesmeasurable coefficientsgradient regularity

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) Quasilinear elliptic equations (35J62)

Related Items (6)

An end point Orlicz type estimate for nonlinear elliptic equations ⋮ A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces ⋮ On grand and small Lebesgue and Sobolev spaces and some applications to PDE's ⋮ Poisson equation beyond its natural domain of definition ⋮ Carlo Sbordone, a Neapolitan mathematician ⋮ Carlo Sbordone, a Neapolitan mathematician

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