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Boundedness of $L^2$-norms of mixed derivatives of functions from $W^{2,2}(\mathbb{R}^N)$

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#partial-differential-equations #sobolev-spaces
253
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Sturm-Liouville problem on Sobolev Spaces

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#sobolev-spaces #sturm-liouville
197
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How to prove strong convergence in Sobolev spaces

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#functional-analysis #sobolev-spaces
121
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A metric on Sobolev maps?

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#differential-topology #riemannian-geometry #sobolev-spaces
345
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How to prove this is a norm in $H_0^2(\Omega)$?

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#functional-analysis #partial-differential-equations #sobolev-spaces
1.2k
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Continuity of a linear operator in Schwartz Space

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#functional-analysis #fourier-analysis #sobolev-spaces #distribution-theory #schwartz-space
118
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How to consider the smoothness of the Bessel functions type 1 and 2 in Sobolev spaces?

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#sobolev-spaces #bessel-functions
79
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Compactness of $W^{1,1}\cap W^{1,\infty}$

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#functional-analysis #compactness #sobolev-spaces
289
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Sobolev Embedding Theorem, why is this not a counterexample.

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#continuity #sobolev-spaces #lp-spaces
705
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definition of $W_0^{1,p}$-Sobolev spaces

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#functional-analysis #sobolev-spaces #normed-spaces #lp-spaces
134
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About $L^2$- norm estimate of high order derivative

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#inequality #partial-derivative #sobolev-spaces #lp-spaces
113
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denseness in Sobolev spaces

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#functional-analysis #sobolev-spaces
55
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If the derivative of distribution is square integrable, then so is the distribution

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#functional-analysis #sobolev-spaces #distribution-theory
56
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Function not in $C^\infty(\overline{\mathbb{\Omega}})\cap W^{1,p}$

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#sobolev-spaces
137
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The BV minimizing problem depends on a moving weighted parameter

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#real-analysis #functional-analysis #partial-differential-equations #sobolev-spaces #bounded-variation

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