Results 1 to 10 of about 85,041 (264)
Lifting in Sobolev spaces [PDF]
Journal d'Analyse Mathématique, 2000 We characterize the couples $(s,p)$ with the following property: if $u$ is a complex-valued unimodular map in $W^{s,p}$, then $u$ has (locally) a phase in $W^{s,p}$.
Jean Bourgain +2 more
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Elliptic operators on refined Sobolev scales on vector bundles
Open Mathematics, 2017 We introduce a refined Sobolev scale on a vector bundle over a closed infinitely smooth manifold. This scale consists of inner product Hörmander spaces parametrized with a real number and a function varying slowly at infinity in the sense of Karamata. We
Zinchenko Tetiana
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Uhlenbeck's decomposition in Sobolev and Morrey-Sobolev spaces [PDF]
Results in Mathematics, 2018 We present a self-contained proof of Uhlenbeck's decomposition theorem for $\Omega\in L^p(\mathbb{B}^n,so(m)\otimes\Lambda^1\mathbb{R}^n)$ for $p\in (1,n)$ with Sobolev type estimates in the case $p \in[n/2,n)$ and Morrey-Sobolev type estimates in the ...
Goldstein, Pawel +1 more
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Topology and Sobolev Spaces [PDF]
Journal of Functional Analysis, 2001 Let two compact connected oriented smooth Riemannian manifolds \(M\) and \(N\) (with or without boundary) be given. It is supposed that \(\dim M\geq 2\); the example \(N=S^1\) is of importance. Let \(W^{1,p}(M,N)\) be the Sobolev space of functions \(u\in W^{1,p} (M,\mathbb{R}^k)\) with \(u(x)\in N\) a.e.
Haïm Brézis, Yanyan Li
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Equivalent Norms for Sobolev Spaces [PDF]
Proceedings of the American Mathematical Society, 1970 where ...
Robert Adams
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A Sobolev space and a Darboux problem [PDF]
Pacific Journal of Mathematics, 1977 M. B. Suryanarayana
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Multipliers in weighted Sobolev spaces on the axis [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 This work establishes necessary and sufficient conditions for the boundedness of one variable differential operator acting from a weighted Sobolev space Wlp,v to a weighted Lebesgue space on the positive real half line.
A. Myrzagaliyeva
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AIMS Mathematics, 2023 It is well-known that the embedding of the Sobolev space of weakly differentiable functions into Hölder spaces holds if the integrability exponent is higher than the space dimension.
Ugur G. Abdulla
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On anisotropic Sobolev spaces [PDF]
Communications in Contemporary Mathematics, 2019 We investigate two types of characterizations for anisotropic Sobolev and BV spaces. In particular, we establish anisotropic versions of the Bourgain–Brezis–Mironescu formula, including the magnetic case both for Sobolev and BV functions.
Hoai-Minh Nguyen, Marco Squassina
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Degree and Sobolev spaces [PDF]
Topological Methods in Nonlinear Analysis, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brezis, Haïm +3 more
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