Inequalities for functions of the classes \(W^{\overrightarrow{m}}_p(R^n)\)

DOI10.1007/BF01084689zbMath0349.46037OpenAlexW1966596306MaRDI QIDQ1234869

Vsevolod A. Solonnikov

Publication date: 1975

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01084689

Mathematics Subject Classification ID

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

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\(H^{1/2}\) maps with values into the circle: minimal connections, lifting, and the Ginzburg-Landau equation ⋮ The blow up method for brakke flows: networks near triple junctions ⋮ An optimal Sobolev embedding for \(L^1\) ⋮ Nonstationary Venttsel problems with discontinuous data ⋮ There is no local unconditional structure in anisotropic spaces of smooth functions ⋮ Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations ⋮ An interpolation inequality in exterior domains ⋮ Some interpolation inequalities involving Stokes operator and first order derivatives ⋮ Existence of minimisers of variational problems posed in spaces of mixed smoothness

Cites Work

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• A non-inequality for differential operators in the \(L_ 1\) norm
• Ulteriori proprieta di alcune classi di funzioni in piu variabili
• Solution “in the large” of the nonstationary boundary value problem for the Navier-Stokes system with two space variables
• A covering lemma with applications to differentiability of measures and singular integral operators

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