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$C^\infty$ dense in Sobolev spaces

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Sobolev spaces on bounded domain

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Weak convergence in Sobolev spaces involving time

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Sobolev Embedding Theorems in Dimension One

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Is this family of projections $\nu\mapsto P_\nu$ Lipschitz continuous?

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Consistency of derivative definitions in Sobolev spaces

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Is the constant of Poincaré inequality related with the measure of the set?

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Superposition operator in Sobolev spaces

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ODE with irregular coefficient

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Discrete Sobolev Space and Sobolev Spaces of Banach Space valued functions

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A problem involving Laplace operator

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178
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Smoothness of a non-local functional

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375
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A Question regarding a theorem in Brezis' Functional Analysis

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#functional-analysis #sobolev-spaces
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Is $C_0^{\infty}(\Omega)\cap H^{m,p}(\Omega)$ dense in $H^{m,p}(\Omega)$?

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Basic question on Sobolev spaces

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