Nonlocal characterizations of variable exponent Sobolev spaces

DOI10.3233/ASY-211675OpenAlexW3126694497MaRDI QIDQ5029369

Marco Squassina, Gianluca Ferrari

Publication date: 14 February 2022

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

Full work available at URL: https://arxiv.org/abs/2012.00389

zbMATH Keywords

anisotropic Sobolev spacesnonlocal characterizationssingular limit formulas

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Nonlinear elasticity (74B20) Magnetohydrodynamics and electrohydrodynamics (76W05) PDEs in connection with mechanics of deformable solids (35Q74) Integro-partial differential equations (35R09)

Related Items (2)

Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents ⋮ Bourgain-Brezis-Mironescu formula for \(W^{s, p}_q\)-spaces in arbitrary domains

Cites Work

• Some inequalities related to Sobolev norms
• A new estimate for the topological degree
• Lebesgue and Sobolev spaces with variable exponents
• On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent
• New characterizations of magnetic Sobolev spaces
• Further characterizations of Sobolev spaces
• Some new characterizations of Sobolev spaces
• Regularity results for a class of functionals with non-standard growth
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