Results 171 to 180 of about 27,468 (197)

Approximation in Weighted Sobolev Spaces

2011
For p≥1 we define L m,p (ℝ n ) as the set of distributions u on ℝ n such that $$\|u\|_{m, p}=\Biggl(\, \sum^m_{k=1} \int\bigl|\nabla_k u(x)\bigr |^p\, \mathrm{d}x\Biggr)^{1/p}
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Compact traces in weighted Sobolev spaces

Analysis, 1998
Summary: We study trace operators \(W^{1,p}(\Omega; v_0,v_1)\to L^q(\partial\Omega; w)\) in weighted Sobolev spaces for sufficiently regular unbounded domains \(\Omega\subset \mathbb{R}^N\) with noncompact boundary. We show that under certain conditions on the weight functions \(v_0\), \(v_1\), \(w\), this operator is compact.
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Interpolation of weighted Sobolev spaces

2000
Let \(\Omega\) be a domain of the space \(\mathbb R^n\), let \(\omega(x)\) and \(\{\omega_\alpha(x)\}\) be positive continuous functions on \(\Omega\), and let \(H^m_{p\psi}(\Omega)\) and \(L_{p,\omega}(\Omega)\) be weighted spaces with the respective norms \[ \begin{gathered} \|u\|_{H^m_{p,\psi}(\Omega)}= \left(\sum_{|\alpha|\leq m}\omega_\alpha(x)|D^\
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Elliptic Operators in Weighted Sobolev Spaces

2000
In this chapter, we prove some estimates for solutions of elliptic problems in weighted Sobolev spaces. The aim here is not to provide a thorough description of the theory of elliptic operators in weighted Sobolev spaces but rather to provide simple proofs of some results that are needed in subsequent chapters.
Frank Pacard, Tristan Rivière
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Spaces of weighted symbols and weighted sobolev spaces on manifolds

1987
This paper gives an approach to pseudodifferential operators on noncompact manifolds using a suitable class of weighted symbols and Sobolev spaces introduced by H.O. Cordes on ℙ. Here, these spaces are shown to be invariant under certain changes of coordinates. It is therefore possible to transfer them to manifolds with a compatible structure.
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WEIGHTED SOBOLEV SPACES

Bulletin of the London Mathematical Society, 1986
openaire   +1 more source

Weighted Sobolev spaces and capacity

1994
The author considers the connection between a capacity and the pointwise definition in Sobolev spaces involving \(A_ p\)-class weights. He shows that Sobolev functions possess Lebesgue points quasi everywhere with respect to an appropriate capacity.
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On a class of nonlinear degenerate elliptic equations in weighted Sobolev spaces

Georgian Mathematical Journal, 2023
Mohamed El Ouaarabi, Chakir Allalou, Said Melliani   +2 more
exaly  

The IVP for the Benjamin–Ono equation in weighted Sobolev spaces

Journal of Functional Analysis, 2011
Gustavo Ponce
exaly  

On associate spaces of weighted Sobolev space on the real line

Mathematische Nachrichten, 2017
Vladimir D Stepanov
exaly