### The sharp Sobolev inequality in quantitative form

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

Journal of the European Mathematical Society

Similarity:

Skip to main content (access key 's'),
Skip to navigation (access key 'n'),
Accessibility information (access key '0')

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

Journal of the European Mathematical Society

Similarity:

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.

V. M. Tikhomirov (1989)

Banach Center Publications

Similarity:

Kutateladze, S.S. (2001)

Vladikavkazskiĭ Matematicheskiĭ Zhurnal

Similarity:

V. I. Kolyada (2006)

Banach Center Publications

Similarity:

We study mixed norm spaces that arise in connection with embeddings of Sobolev and Besov spaces. We prove Sobolev type inequalities in terms of these mixed norms. Applying these results, we obtain optimal constants in embedding theorems for anisotropic Besov spaces. This gives an extension of the estimate proved by Bourgain, Brezis and Mironescu for isotropic Besov spaces.

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

Sibirskij Matematicheskij Zhurnal

Similarity:

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.

Crăciunaş, Petru Teodor (1996)

General Mathematics

Similarity:

Hans Triebel (1989)

Banach Center Publications

Similarity:

A. Pełczyński, K. Senator (1986)

Studia Mathematica

Similarity:

R. Telgársky (1968)

Colloquium Mathematicae

Similarity:

Augusto C. Ponce (2004)

Journal of the European Mathematical Society

Similarity:

Kilpeläinen, Tero (1994)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

Similarity:

Ershov, Yu.L., Kutateladze, S.S., Tajmanov, I.A. (2007)

Sibirskij Matematicheskij Zhurnal

Similarity:

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.

A. Benedek, R. Panzone (1990)

Colloquium Mathematicae

Similarity:

Mizuta, Yoshihiro (1995)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

Similarity:

Miroslav Krbec, Hans-Jürgen Schmeisser (2011)

Banach Center Publications

Similarity:

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

Ch. Konstadilaki, I. L. Reilly (1991)

Matematički Vesnik

Similarity:

K. P. Chew, H. P. Tan (1972)

Publications de l'Institut Mathématique

Similarity: