Results 111 to 120 of about 1,372 (214)
Inequalities for eigenvalue functionals
Journal of Inequalities and Applications, 1999 We give sharp estimates for some eigenvalue functionals, and we indicate the optimal solutions.
Karaa Samir
doaj
Submanifolds, isoperimetric inequalities and optimal transportation
, 2010 The aim of this paper is to prove isoperimetric inequalities on submanifolds of the Euclidean space using mass transportation methods. We obtain a sharp “weighted isoperimetric inequality” and a nonsharp classical inequality similar to the one obtained ...
Castillon, Philippe
core +1 more source
Isoperimetric inequalities, growth, and the spectrum of graphs
, 1988 Various inequalities involving the isoperimetric number and the spectrum of graphs are given. The exponential growth number of infinite graphs is studied in more details.
Mohar, Bojan, Bojan Mohar
core +1 more source
Affine fractional Sobolev and isoperimetric inequalities
Sharp affine fractional Sobolev inequalities for functions on Rn are established. For each 0 −, the new inequalities imply the sharp affine Sobolev inequality of Gaoyong Zhang. As a consequence, fractional Petty projection inequalities are obtained which
Haddad, Julián, Ludwig, Monika; orcid:
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Restriction and isoperimetric inequalities in harmonic analysis
, 2015 We study two related inequalities that arise in Harmonic Analysis: restriction type inequalities and isoperimetric inequalities. The (Lp, Lq) Restriction type inequalities have been the subject of much interest since they were first conceived in the ...
Harris, Stephen Elliott Ian
core
Isoperimetric inequalities with monomial weights
, 2020 We consider the monomial weight |x_1|^{A_1}...|x_n|^{A_n} in R^n, where A_i ≥ 0 is a real number for each i = 1, ..., n, and we present the isoperimetric, Sobolev, Morrey, and Trudinger-Moser inequalities involving this weight.
Marta Nascimento Menezes
core
, 2012 In the present work we study isoperimetric problem and its description by isoperimetric inequality. The legend of Dido, which inspired formulation of the isoperimetric problem, is described in the first chapter.
Bártlová, Tereza
core
Sharp Sobolev Inequalities via Projection Averages. [PDF]
J Geom Anal, 2021 Kniefacz P, Schuster FE.
europepmc +1 more source
Li-Yau inequalities for the Helfrich functional and applications. [PDF]
Calc Var Partial Differ Equ, 2023 Rupp F, Scharrer C.
europepmc +1 more source
An isoperimetric inequality [PDF]
Proceedings of the American Mathematical Society, 1964 openaire +2 more sources