New characterizations of magnetic Sobolev spaces
Advances in Nonlinear Analysis, 2018 We establish two new characterizations of magnetic Sobolev spaces for Lipschitz magnetic fields in terms of nonlocal functionals. The first one is related to the BBM formula, due to Bourgain, Brezis and Mironescu. The second one is related to the work of
Nguyen Hoai-Minh +3 more
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Improved Poincaré-Hardy inequalities on certain subspaces of the Sobolev space [PDF]
, 2022 Debdip Ganguly, Prasun Roychowdhury
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Traces of multipliers in pairs of weighted Sobolev spaces
Journal of Function Spaces and Applications, 2005 We prove that the pointwise multipliers acting in a pair of fractional Sobolev spaces form the space of boundary traces of multipliers in a pair of weighted Sobolev space of functions in a domain.
Vladimir Maz'ya, Tatyana Shaposhnikova
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A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces
Journal of Inequalities and Applications, 2016 In recent years, nonhomogeneous wavelet frames have attracted some mathematicians’ interest. This paper investigates such problems in a Sobolev space setting. A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces pairs is obtained.
Jian-Ping Zhang, Yun-Zhang Li
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On a pure traction problem for the nonlinear elasticity system in Sobolev spaces with variable exponents [PDF]
, 2022 ", Zoubai Fayrouz, Boubakeur Merouani
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Sobolev spaces and $$\nabla $$-differential operators on manifolds I: basic properties and weighted spaces [PDF]
, 2022 Mirela Kohr, Victor Nistor
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Trudinger-Moser embeddings on weighted Sobolev spaces on unbounded domains [PDF]
, 2023 João Marcos Ó +2 more
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Embedding theorems for variable exponent fractional Sobolev spaces and an application
, 2021 Haikun Liu, Yongqiang Fu
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ON NOETHERICITY AND INDEX OF DIFFERENTIAL OPERATORS IN ANISOTROPIC WEIGHTED SOBOLEV SPACES [PDF]
, 2016 A.G. Tumanyan
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Existence and Uniqueness Results of Fractional Differential Inclusions and Equations in Sobolev Fractional Spaces [PDF]
, 2023 Safia Meftah +3 more
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