Isoperimetric Inequalities and the Problem of Plateau.
K. Steffen (1976)
Mathematische Annalen
Similarity:
K. Steffen (1976)
Mathematische Annalen
Similarity:
Christer Borell (1983)
Mathematische Annalen
Similarity:
Matteo Bonforte, Gabriele Grillo (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
We investigate the connection between certain logarithmic Sobolev inequalities and generalizations of Gagliardo-Nirenberg inequalities. A similar connection holds between reverse logarithmic Sobolev inequalities and a new class of reverse Gagliardo-Nirenberg inequalities.
Shigeo Kawai (1992)
Mathematische Annalen
Similarity:
M.L. Cartwright (1935)
Mathematische Annalen
Similarity:
P.H. Diananda (1980)
Mathematische Annalen
Similarity:
S. TANNO (1970/71)
Mathematische Annalen
Similarity:
Rajendra Bhatia, John A.R. Holbrook (1988)
Mathematische Annalen
Similarity:
Volker Vogelsang (1991)
Mathematische Annalen
Similarity:
W. Hansen, V. Andrievskii (1992)
Mathematische Annalen
Similarity:
Philip S. Crooke (1978)
Colloquium Mathematicae
Similarity:
R.M. Redheffer (1957)
Mathematische Annalen
Similarity:
Andrea Cianchi, Luboš Pick, Lenka Slavíková (2014)
Banach Center Publications
Similarity:
We survey results from the paper [CPS] in which we developed a new sharp iteration method and applied it to show that the optimal Sobolev embeddings of any order can be derived from isoperimetric inequalities. We prove thereby that the well-known link between first-order Sobolev embeddings and isoperimetric inequalities translates to embeddings of any order, a fact that had not been known before. We show a general reduction principle that reduces Sobolev type inequalities of any order...
Andrea Cianchi, Nicola Fusco, F. Maggi, A. Pratelli (2009)
Journal of the European Mathematical Society
Similarity:
Radosław Adamczak (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
T. Ando (1987/88)
Mathematische Annalen
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.
V. M. Tikhomirov (1989)
Banach Center Publications
Similarity: