Hessian determinants as elements of dual Sobolev spaces

Teresa Radice

Displaying similar documents to “Hessian determinants as elements of dual Sobolev spaces”

Sobolev- und Sobolev-Hardy-Räume auf S1: Dualitätstheorie und Funktionalkalküle.

Klaus Gero Kalb (1984)

Mathematische Annalen

Similarity:

Variable Sobolev capacity and the assumptions on the exponent

Petteri Harjulehto, Peter Hästö, Mika Koskenoja, Susanna Varonen (2005)

Banach Center Publications

Similarity:

In a recent article the authors showed that it is possible to define a Sobolev capacity in variable exponent Sobolev space. However, this set function was shown to be a Choquet capacity only under certain assumptions on the variable exponent. In this article we relax these assumptions.

Competing Symmetries, the Logarithmic HLS Inequality and Onofri's Inequality on Sn.

E. Carlen, M. Loss (1992)

Geometric and functional analysis

Similarity:

Strokes of the biography of A. D. Alexandrov.

Kutateladze, S.S. (2001)

Vladikavkazskiĭ Matematicheskiĭ Zhurnal

Similarity:

Duality and best constant for a Trudinger–Moser inequality involving probability measures

Tonia Ricciardi, Takashi Suzuki (2014)

Journal of the European Mathematical Society

Similarity:

Atomic decomposition on Hardy-Sobolev spaces

Yong-Kum Cho, Joonil Kim (2006)

Studia Mathematica

Similarity:

As a natural extension of $L^{p}$ Sobolev spaces, we consider Hardy-Sobolev spaces and establish an atomic decomposition theorem, analogous to the atomic decomposition characterization of Hardy spaces. As an application, we deduce several embedding results for Hardy-Sobolev spaces.

Fifty years of Siberian Mathematical Journal.

Ershov, Yu.L., Kutateladze, S.S. (2009)

Sibirskij Matematicheskij Zhurnal

Similarity:

Brézis-Gallouët-Wainger type inequality for Besov-Morrey spaces

Yoshihiro Sawano (2010)

Studia Mathematica

Similarity:

The aim of the present paper is to obtain an inequality of Brézis-Gallouët-Wainger type for Besov-Morrey spaces. We investigate these spaces in a self-contained manner. Also, we verify that our result is sharp.

The sharp Sobolev inequality in quantitative form

Andrea Cianchi, Nicola Fusco, F. Maggi, A. Pratelli (2009)

Journal of the European Mathematical Society

Similarity:

On the Sobolev spaces I.

Crăciunaş, Petru Teodor (1996)

General Mathematics

Similarity:

A look on some results about Camassa–Holm type equations

Igor Leite Freire (2021)

Communications in Mathematics

Similarity:

We present an overview of some contributions of the author regarding Camassa--Holm type equations. We show that an equation unifying both Camassa--Holm and Novikov equations can be derived using the invariance under certain suitable scaling, conservation of the Sobolev norm and existence of peakon solutions. Qualitative analysis of the two-peakon dynamics is given.

Sobolev-type spaces from generalized Poincaré inequalities

Toni Heikkinen, Pekka Koskela, Heli Tuominen (2007)

Studia Mathematica

Similarity:

We define a Sobolev space by means of a generalized Poincaré inequality and relate it to a corresponding space based on upper gradients.

Differentiability from the representation formula and the Sobolev-Poincaré inequality

Valentino Magnani (2005)

Studia Mathematica

Similarity:

In the geometries of stratified groups, we provide differentiability theorems for both functions of bounded variation and Sobolev functions. Proofs are based on a systematic application of the Sobolev-Poincaré inequality and the so-called representation formula.

Gelfand and Kolmogorov numbers of embedding of radial Besov and Sobolev spaces

Alicja Gąsiorowska (2011)

Banach Center Publications

Similarity:

We prove asymptotic formulas for the behavior of Gelfand and Kolmogorov numbers of Sobolev embeddings between Besov and Triebel-Lizorkin spaces of radial distributions. Our method works also for Weyl numbers.

An estimate in the spirit of Poincaré's inequality

Augusto C. Ponce (2004)

Journal of the European Mathematical Society

Similarity:

On inequalities of Hardy-Sobolev type.

Balinsky, A., Evans, W.D., Hundertmark, D, Lewis, R.T. (2008)

Banach Journal of Mathematical Analysis [electronic only]

Similarity:

Some remarks on relative diameters

V. M. Tikhomirov (1989)

Banach Center Publications

Similarity:

Strichartz's conjecture on Hardy-Sobolev spaces

Yong-Kum Cho (2005)

Colloquium Mathematicae

Similarity:

We prove Strichartz's conjecture regarding a characterization of Hardy-Sobolev spaces.

Addendum to the paper "On isomorphisms of anisotropic Sobolev spaces with "classical Banach spaces" and a Sobolev type embedding theorem"

A. Pełczyński, K. Senator (1986)

Studia Mathematica

Similarity:

Weighted Sobolev spaces and capacity.

Kilpeläinen, Tero (1994)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

Similarity:

On the intersection of Sobolev spaces

A. Benedek, R. Panzone (1990)

Colloquium Mathematicae

Similarity:

Dimension-invariant Sobolev imbeddings

Miroslav Krbec, Hans-Jürgen Schmeisser (2011)

Banach Center Publications

Similarity:

We survey recent dimension-invariant imbedding theorems for Sobolev spaces.

Pointwise inequalities for Sobolev functions and some applications

Bogdan Bojarski, Piotr Hajłasz (1993)

Studia Mathematica

Similarity:

We get a class of pointwise inequalities for Sobolev functions. As a corollary we obtain a short proof of Michael-Ziemer’s theorem which states that Sobolev functions can be approximated by $C^{m}$ functions both in norm and capacity.

Remarks on the blow-up criterion for the MHD system involving horizontal components or their horizontal gradients

Zujin Zhang, Xian Yang (2016)

Annales Polonici Mathematici

Similarity:

We study the Cauchy problem for the MHD system, and provide two regularity conditions involving horizontal components (or their gradients) in Besov spaces. This improves previous results.