Sobolev space / by Adams, Robert A. (Robert Alexander), 1940-

Subjects: “…Sobolev spaces…”

Multipliers in weighted Sobolev spaces on the axis by A. Myrzagaliyeva

Subjects: “…Sobolev space…”
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Multipliers in weighted Sobolev spaces on the axis by A. Myrzagaliyeva

“…The author introduces pointwise multipliers in weighted Sobolev spaces; obtains the description of the space of multipliers M(W_1 → W_2) for a pair of weighted Sobolev spaces (W_1, W_2) with weights of general type.…”
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Clarkson’s Inequalities for Periodic Sobolev Space by I.V. Korytov

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Characterisation of homogeneous fractional Sobolev spaces by Brasco, L, Gómez-Castro, D, Vazquez, JL

Uniform Convexity in Variable Exponent Sobolev Spaces by Mostafa Bachar, Mohamed A. Khamsi, Osvaldo Méndez

“…We prove the modular convexity of the mixed norm <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>L</mi><mi>p</mi></msup><mrow><mo>(</mo><msup><mo>ℓ</mo><mn>2</mn></msup><mo>)</mo></mrow></mrow></semantics></math></inline-formula> on the Sobolev space <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>W</mi><mrow><mn>1</mn><mo>,</mo><mi>p</mi></mrow></msup><mrow><mo>(</mo><mi mathvariant="normal">Ω</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> in a domain <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="normal">Ω</mi><mo>⊂</mo><msup><mrow><mi mathvariant="double-struck">R</mi></mrow><mi>n</mi></msup></mrow></semantics></math></inline-formula> under the sole assumption that the exponent <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow></semantics></math></inline-formula> is bounded away from 1, i.e., we include the case <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><munder><mi>sup</mi><mrow><mi>x</mi><mo>∈</mo><mi mathvariant="normal">Ω</mi></mrow></munder><mi>p</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>=</mo><mo>∞</mo></mrow></semantics></math></inline-formula>. …”
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On multipliers in weighted Sobolev spaces. Part I by L. Kussainova, A. Myrzagaliyeva

Subjects: “…WEIGHTED SOBOLEV SPACE…”
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On Sobolev spaces and density theorems on Finsler manifolds by Behroz Bidabad, Alireza Shahi

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On multipliers in weighted Sobolev spaces. Part II by A. Myrzagaliyeva

Subjects: “…WEIGHTED SOBOLEV SPACE…”
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On asymptotically optimal cubatures for multidimensional Sobolev spaces by V.F. Babenko, Yu.V. Babenko, O.V. Kovalenko

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Weighted Sobolev Spaces and Degenerate Elliptic Equations by Albo Carlos Cavalheiro

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Parabolic Equations in Musielak-Orlicz-Sobolev Spaces by M.L. Ahmed Oubeid, A. Benkirane, M. Sidi El Vally

“…We prove in this paper the existence of solutions of nonlinear parabolic problems in Musielak-Orlicz-Sobolev spaces. An approximation and a trace results in inhomogeneous Musielak-Orlicz-Sobolev spaces have also been provided.…”
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Restriction to hypersurfaces of non-isotropic Sobolev spaces by Mekias, Mohamed

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Poincaré-type inequalities for broken Sobolev spaces by Lasis, A, Suli, E

“…We present two versions of general Poincaré-type inequalities for functions in broken Sobolev spaces, providing bounds for the Lq-norm of a function in terms of its broken H1-norm.…”

An Introduction to Sobolev Spaces and Interpolation Spaces [electronic resources]: / by 307384 Tartar, Luc, SpringerLink (Online service)

Subjects: “…Sobolev spaces…”
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Functional analysis, sobolev spaces and partial differential equations / by 518341 Brezis, Haim

Subjects: “…Sobolev spaces…”

Optimal quadrature formulas for oscillatory integrals in the Sobolev space by Kholmat Shadimetov, Abdullo Hayotov, Bakhromjon Bozarov

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Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications by Wu Ruimin, Wang Songbai

Subjects: “…generalized orlicz-sobolev space…”
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An Orlicz-Sobolev space setting for quasilinear elliptic problems by Nikolaos Halidias

“…In this paper we give two existence theorems for a class of elliptic problems in an Orlicz-Sobolev space setting concerning both the sublinear and the superlinear case with Neumann boundary conditions. …”
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Estimates on translations and Taylor expansions in fractional Sobolev spaces by Teso, FD, Gomez Castro, D, Vazquez, JL