On the modulus of continuity of weakly differentiable functions

DOI10.1512/iumj.2011.60.4441zbMath1268.46026OpenAlexW2064827311MaRDI QIDQ4905825

Andrea Cianchi, Monia Randolfi

Publication date: 21 February 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://www.iumj.indiana.edu/IUMJ/ABS/2011/4441

zbMATH Keywords

modulus of continuityOrlicz-Sobolev spacescontinuous embeddingsgeneralized Sobolev spacesrearrangemant invariant spaces

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (15)

Sharp Sobolev type embeddings on the entire Euclidean space ⋮ Regularity of the inverse mapping in Banach function spaces ⋮ Gradient continuity for \(p(x)\)-Laplacian systems under minimal conditions on the exponent ⋮ Continuity properties of weakly monotone Orlicz-Sobolev functions ⋮ Symmetric gradient Sobolev spaces endowed with rearrangement-invariant norms ⋮ Unnamed Item ⋮ Lavrentiev gap for some classes of generalized Orlicz functions ⋮ An optimal endpoint trace embedding ⋮ Sobolev embeddings, rearrangement-invariant spaces and Frostman measures ⋮ Optimal Sobolev trace embeddings ⋮ Reduction theorems for Sobolev embeddings into the spaces of Hölder, Morrey and Campanato type ⋮ Differentiability properties of functions from higher-order Orlicz-Sobolev spaces ⋮ Global Schauder estimates for the \(p\)-Laplace system ⋮ Optimal domain spaces in Orlicz-Sobolev embeddings ⋮ Embeddings of Sobolev-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness

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