Differentiability properties of Orlicz-Sobolev functions

DOI10.1007/BF02383608zbMath1119.46030MaRDI QIDQ2368525

Angela Alberico, Andrea Cianchi

Publication date: 21 April 2006

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

Orlicz-Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Continuity and differentiation questions (26B05)

Related Items (17)

On finite lipschitz Orlicz Sobolev classes ⋮ Continuity properties of Riesz potentials of Orlicz functions ⋮ Smooth approximation of Orlicz-Sobolev maps between manifolds ⋮ Cheeger-différentiabilité d'applications de certains espaces de Sobolev ⋮ Toward the theory of Orlicz–Sobolev classes ⋮ Quasilinear elliptic problems with general growth and merely integrable, or measure, data ⋮ Exponential integrability of Riesz potentials of Orlicz functions ⋮ Trudinger's inequality and continuity of potentials on Musielak-Orlicz-Morrey spaces ⋮ Boundedness of integral operators of double phase ⋮ Trudinger's inequality for Riesz potentials of functions in Musielak-Orlicz spaces ⋮ Trudinger's inequality and continuity for Riesz potentials of functions in Musielak-Orlicz-Morrey spaces on metric measure spaces ⋮ Continuity properties of weakly monotone Orlicz-Sobolev functions ⋮ Integrability of maximal functions and Riesz potentials in Orlicz spaces of variable exponent ⋮ Sobolev's inequality for Riesz potentials of functions in Morrey spaces of integral form ⋮ Pointwise behaviour of Orlicz-Sobolev functions ⋮ Differentiability properties of functions from higher-order Orlicz-Sobolev spaces ⋮ On Trudinger-type Inequalities in Orlicz-Morrey Spaces of an Integral Form

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