A characterization of minimal Orlicz-Sobolev norms in the affine class

DOI10.1016/j.jmaa.2017.12.033zbMath1392.46035OpenAlexW2771959279MaRDI QIDQ681779

Qingzhong Huang, Ai-Jun Li

Publication date: 13 February 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.12.033

zbMATH Keywords

affine transformsOrlicz-Sobolev norms

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differentiability properties of functions from higher-order Orlicz-Sobolev spaces
• Optimal Sobolev norms in the affine class
• Orlicz-Sobolev algebras
• A class of Orlicz-Sobolev spaces with applications to variational problems involving nonlinear Hill's equations
• Continuity and kth order differentiability in Orlicz-Sobolev spaces: \(W^kL_n\)
• On the Orlicz-Sobolev imbedding theorem
• Optimal Orlicz-Sobolev embeddings
• Negative Orlicz-Sobolev norms and strongly nonlinear systems in fluid mechanics
• Affine Orlicz Pólya-Szegő principle for log-concave functions
• Orlicz-Sobolev spaces and imbedding theorems
• Nonlinear elliptic boundary value problems in Orlicz-Sobolev spaces
• Existence of solutions to a semilinear elliptic system trough Orlicz-Sobolev spaces
• Interpolation operators in Orlicz--Sobolev spaces
• Nemitsky operators between Orlicz-Sobolev spaces
• Higher-order Sobolev and Poincaré inequalities in Orlicz spaces
• Imbedding Theorems for Weighted Orlicz-Sobolev Spaces
• A sharp embedding theorem for Orlicz-Sobolev spaces
• An approximation theorem in higher order Orlicz-Sobolev spaces and applications
• On Some Aspects of the Theory of Orlicz–Sobolev Spaces
• Extensions of Fisher Information and Stam's Inequality
• Optimal Sobolev norms and the Lp Minkowski problem
• Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
• Orlicz-Sobolev boundary trace embeddings

This page was built for publication: A characterization of minimal Orlicz-Sobolev norms in the affine class