Orlicz-Sobolev algebras

DOI10.1007/s11118-008-9084-6zbMath1157.46309OpenAlexW2031154693MaRDI QIDQ930378

Andrea Cianchi

Publication date: 30 June 2008

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-008-9084-6

zbMATH Keywords

Sobolev spacesOrlicz spacesBanach algebrasEmbedding theorems

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 (3)

Characterization of associate spaces of weighted Lorentz spaces with applications ⋮ A characterization of minimal Orlicz-Sobolev norms in the affine class ⋮ Banach algebras of weakly differentiable functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundedness of minimizers
• 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
• Full \(C^{1,\alpha}\)-regularity for free and constrained local minimizers of elliptic variational integrals with nearly linear growth
• On the Orlicz-Sobolev algebra
• 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
• An eigenvalue problem for generalized Laplacian in Orlicz—Sobolev spaces
• Imbedding Theorems for Weighted Orlicz-Sobolev Spaces
• Boundedness of solutions to variational problems under general growth conditions
• A sharp embedding theorem for Orlicz-Sobolev spaces
• An approximation theorem in higher order Orlicz-Sobolev spaces and applications
• Fractional Integration in Orlicz Spaces. I
• Analytic Inequalities
• Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients

This page was built for publication: Orlicz-Sobolev algebras