List questions from sobolev-spaces

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Which domains make Sobolev inequality weaker?

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Sobolev embedding for $W^{1,\infty}$？

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Index of a Fredholm Operator on Paths

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Gradient of a Lipschitz function on a Riemannian manifold.

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How to prove that $\lVert \Delta u \rVert_{L^2} + \lVert u \rVert_{L^2}$ and $\lVert u \rVert_{H^2}$ are equivalent norms?

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Is $W_0^{1,p}$ weakly closed?

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Existence and uniqueness of PDE with solutions in $W^{k,p}$ with $p \neq 2$?

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Find adjoint operator of an operator T

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Singular Value Decomposition - what do I have to do?

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question about sobolev inequality

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Poincaré's lemma with norm in $H_{0}^{1}$

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How to prove the density result？

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Sobolev Embedding (Case: p=N)

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How to show that $u(t,x)\in C([0,T],H^{1}(\mathbb{R}^{n}))$?

Published on 16 Apr 2026 - 10:31

List Question

When Dirac function is in $H^{-m}(R^n)$?

Which domains make Sobolev inequality weaker?

Sobolev embedding for $W^{1,\infty}$？

Index of a Fredholm Operator on Paths

Gradient of a Lipschitz function on a Riemannian manifold.

How to prove that $\lVert \Delta u \rVert_{L^2} + \lVert u \rVert_{L^2}$ and $\lVert u \rVert_{H^2}$ are equivalent norms?

Is $W_0^{1,p}$ weakly closed?

Existence and uniqueness of PDE with solutions in $W^{k,p}$ with $p \neq 2$?

Find adjoint operator of an operator T

Singular Value Decomposition - what do I have to do?

question about sobolev inequality

Poincaré's lemma with norm in $H_{0}^{1}$

How to prove the density result？

Sobolev Embedding (Case: p=N)

How to show that $u(t,x)\in C([0,T],H^{1}(\mathbb{R}^{n}))$?

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