Results 11 to 20 of about 71,930 (202)
Degenerate Poincaré–Sobolev inequalities [PDF]
Transactions of the American Mathematical Society, 2019 Revised version. To appear in Trans. Amer.
Pérez, C., Rela, E.
openaire +3 more sources
SOBOLEV INEQUALITIES WITH SYMMETRY [PDF]
Communications in Contemporary Mathematics, 2009 In this paper, we derive some Sobolev inequalities for radially symmetric functions in Ḣswith 1/2 < s < n/2. We show the end point case s = 1/2 on the homogeneous Besov space [Formula: see text]. These results are extensions of the well-known Strauss' inequality [13].
Cho, Yonggeun, Ozawa, Tohru
openaire +3 more sources
Logarithmic Sobolev trace inequalities [PDF]
Asian Journal of Mathematics, 2013 We prove a logarithmic Sobolev trace inequality in a gaussian space and we study the trace operator in the weighted Sobolev space W^{1,p}( , ) for sufficiently regular domain. We exhibit examples to show the sharpness of the results. Applications to PDE are also considered.
F. FEO, POSTERARO, MARIA ROSARIA
openaire +5 more sources
Regularity estimates for fractional orthotropic p-Laplacians of mixed order
Advances in Nonlinear Analysis, 2022 We study robust regularity estimates for a class of nonlinear integro-differential operators with anisotropic and singular kernels. In this paper, we prove a Sobolev-type inequality, a weak Harnack inequality, and a local Hölder estimate.
Chaker Jamil, Kim Minhyun
doaj +1 more source
Stability for a GNS inequality and the Log-HLS inequality, with application to the critical mass Keller-Segel equation [PDF]
, 2011 Starting from the quantitative stability result of Bianchi and Egnell for the 2-Sobolev inequality, we deduce several different stability results for a Gagliardo-Nirenberg-Sobolev inequality in the plane.
Carlen, Eric A., Figalli, Alessio
core +1 more source
Critical Hardy–Sobolev inequalities
Journal de Mathématiques Pures et Appliquées, 2007 We consider Hardy inequalities in $I R^n$, $n \geq 3$, with best constant that involve either distance to the boundary or distance to a surface of co-dimension ...
Filippas, S., Maz'ya, V., Tertikas, A.
openaire +2 more sources
Advanced Nonlinear Studies, 2019 In line with the Trudinger–Moser inequality in the fractional Sobolev–Slobodeckij space due to [S. Iula, A note on the Moser–Trudinger inequality in Sobolev–Slobodeckij spaces in dimension one, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.
Zhang Caifeng
doaj +1 more source
An improvement to the John-Nirenberg inequality for functions in critical Sobolev spaces
Advances in Nonlinear Analysis, 2020 It is known that functions in a Sobolev space with critical exponent embed into the space of functions of bounded mean oscillation, and therefore satisfy the John-Nirenberg inequality and a corresponding exponential integrability estimate.
Martínez Ángel D., Spector Daniel
doaj +1 more source
A mass transportation approach for Sobolev inequalities in variable exponent spaces [PDF]
, 2015 In this paper we provide a proof of the Sobolev-Poincar\'e inequality for variable exponent spaces by means of mass transportation methods. The importance of this approach is that the method is exible enough to deal with different inequalities.
Bonder, Julián Fernández +2 more
core +2 more sources
Sobolev and Hardy–Littlewood–Sobolev inequalities
Journal of Differential Equations, 2014 This paper is devoted to improvements of Sobolev and Onofri inequalities. The additional terms involve the dual counterparts, i.e. Hardy-Littlewood-Sobolev type inequalities. The Onofri inequality is achieved as a limit case of Sobolev type inequalities.
Jankowiak, Gaspard, Dolbeault, Jean
openaire +4 more sources