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Necessary and sufficient conditions of compactness of certain embeddings of Sobolev spaces < l the embedding W∞l ⊂ W∞m(Ω) is compact, where W∞m(Ω) is the Sobolev space and W
ON THE BEST CONSTANTS IN SOBOLEV IMBEDDING THEOREMSON THE BEST CONSTANTS IN SOBOLEV IMBEDDING THEOREMS
ON PRECISE CONSTANTS IN SOBOLEV IMBEDDING THEOREMS .2.ON PRECISE CONSTANTS IN SOBOLEV IMBEDDING THEOREMS .2.
Local growth envelopes and optimal embeddings of generalized Sobolev spaces Lorentz-Sobolev spaces, is also presented. It was assumed that the norm of any function from a
On sobolev problems associated with actions of lie groupsWe consider Sobolev problems with nonlocal boundary conditions associated with an action of a
A Spectral Sobolev Problem for the Biharmonic Operator extension. More precisely, we show that the Friedrichs extension is a Sobolev problem with boundary
A Spectral Sobolev Problem for the Biharmonic Operator and the Friedrichs extension. More precisely, we show that the Friedrichs extension is a Sobolev problem
The Lower Semicontinuity of Distortion Coefficients of the Homeomorphisms Inducing Bounded Composition Operators of Sobolev–Orlicz Spaces composition operators of Sobolev–Orlicz spaces also generates an operator of this kind. We estimate
On associate spaces of weighted Sobolev space on the real linePrecise descriptions of the spaces associated with weighted Sobolev spaces on the real line
Lebesgue constant estimation in multidimensional Sobolev spaceLebesgue constant estimation in multidimensional Sobolev space
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