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2003, 2nd ed., Pure and applied mathematics, ISBN 9780120441433, Volume 140, xiii, 305
Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding characteristics of these... 
Sobolev spaces
Book
2017, Second edition., Graduate studies in mathematics, ISBN 1470429217, Volume 181, xxii, 734 pages
Book
2015, New mathematical monographs, ISBN 9781107092341, Volume 27, xii, 434
Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis in diverse and... 
Sobolev spaces | Metric spaces
eBook
Bulletin des sciences mathématiques, ISSN 0007-4497, 2012, Volume 136, Issue 5, pp. 521 - 573
This paper deals with the fractional Sobolev spaces Ws,p. We analyze the relations among some of their possible definitions and their role in the trace theory.... 
Fractional Laplacian | Nonlocal energy | Sobolev embeddings | Gagliardo norm | Fractional Sobolev spaces | Secondary | Primary | DIRICHLET-NEUMANN OPERATORS | OBSTACLE PROBLEM | MATHEMATICS, APPLIED | HALF-LAPLACIAN | WATER-WAVES | REGULARITY | QUASI-GEOSTROPHIC EQUATION | DIFFUSION | BOUNDARY | NONLOCAL MINIMAL-SURFACES | SINGULAR SET
Journal Article
2009, Graduate studies in mathematics, ISBN 9780821847688, Volume 105, xvi, 607
Book
1975, Pure and applied mathematics, a series of monographs and textbooks, ISBN 9780120441501, Volume 65., xviii, 268
Book
1997, Memoirs of the American Mathematical Society, ISBN 0821806424, Volume no. 616., viii, 111
Book
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2001, Volume 262, Issue 2, pp. 749 - 760
This paper gives a Sobolev-type embedding theorem for the generalized Lebesgue–Sobolev space Wk,p(x)(Ω), where Ω is an open domain in RN(N≥2) with cone... 
integrals | generalized Lebesgue–Sobolev spaces | embedding | generalized Lebesgue | Sobolev spaces | Integrals | Embedding | Generalized Lebesgue-Sobolev spaces
Journal Article
2000, Memoirs of the American Mathematical Society, ISBN 9780821820476, Volume no. 688., ix, 101
Book
1985, ISBN 9783540135890, xix, 486
Book
Arkiv for Matematik, ISSN 0004-2080, 2018, Volume 56, Issue 1, pp. 147 - 161
It is shown for the non-centered Hardy- Littlewood maximal operator M that parallel to D M f parallel to(1)<= C-n parallel to D f parallel to(1) for all radial... 
MATHEMATICS | SOBOLEV SPACES
Journal Article
Journal of functional analysis, ISSN 0022-1236, 2019, Volume 277, Issue 7, pp. 2179 - 2208
Using a dimension reduction argument and a stability version of the weighted Sobolev inequality on half space recently proved by Seuffert [49], we establish,... 
Weighted Sobolev inequality | Sharp constant | Gagliardo–Nirenberg–Sobolev inequality | Stability estimates | MATHEMATICS | ISOPERIMETRIC DEFICIT | Gagliardo-Nirenberg-Sobolev inequality | STABILITY THEOREMS | Equality
Journal Article
International mathematics research notices, ISSN 1073-7928, 05/2020, Volume 2020, Issue 10, pp. 3042 - 3083
Abstract We propose a new Borell–Brascamp–Lieb inequality that leads to novel sharp Euclidean inequalities such as Gagliardo–Nirenberg–Sobolev inequalities in... 
MATHEMATICS | LOGARITHMIC SOBOLEV | BRUNN-MINKOWSKI
Journal Article
2001, Memoirs of the American Mathematical Society, ISBN 9780821826652, Volume no. 714., viii, 75
Book
Journal of differential geometry, ISSN 0022-040X, 2014, Volume 96, Issue 1, pp. 77 - 93
The anisotropic fractional s-perimeter with respect to a convex body K in R-n is shown to converge as s -> 1(-) to the anisotropic perimeter with respect to... 
MATHEMATICS | THEOREMS | INEQUALITY | SOBOLEV
Journal Article
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