Poincaré inequalities with the Radon measure for differential forms
نویسندگان
چکیده
منابع مشابه
Two-weight Poincaré-type inequalities for differential forms in Ls(µ)-averaging domains
We establish the local and global two-weight Poincaré inequalities for differential forms in Ls(μ)-averaging domains. c © 2007 Elsevier Ltd. All rights reserved.
متن کاملNovikov Type Inequalities for Differential Forms with Non-isolated Zeros
We generalize the Novikov inequalities for 1-forms in two different directions: first, we allow non-isolated critical points (assuming that they are nondegenerate in the sense of R.Bott), and, secondly, we strengthen the inequalities by means of twisting by an arbitrary flat bundle. The proof uses Bismut’s modification of the Witten deformation of the de Rham complex; it is based on an explicit...
متن کاملOn Friedrichs – Poincaré - type inequalities ✩
Friedrichsand Poincaré-type inequalities are important and widely used in the area of partial differential equations and numerical analysis. Most of their proofs appearing in references are the argument of reduction to absurdity. In this paper, we give direct proofs of Friedrichs-type inequalities in H 1(Ω) and Poincaré-type inequalities in some subspaces of W1,p(Ω). The dependencies of the ine...
متن کاملSOBOLEV - POINCARÉ INEQUALITIES FOR p < 1
If Ω is a John domain (or certain more general domains), and |∇u| satisfies a certain mild condition, we show that u ∈ W 1,1 loc (Ω) satisfies a Sobolev-Poincaré inequality`R Ω |u − a| q ´ 1/q ≤ C `R Ω |∇u| p ´ 1/p for all 0 < p < 1, and appropriate q > 0. Our conclusion is new even when Ω is a ball.
متن کاملA new weight class and Poincaré inequalities with the Radon measure
Correspondence: [email protected]. cn Department of Mathematics, Harbin Institute of Technology, Harbin, China Abstract We first introduce and study a new family of weights, the A(a, b, g; E)-class which contains the well-known Ar(E)-weight as a proper subset. Then, as applications of the A(a, b, g ;E)-class, we prove the local and global Poincaré inequalities with the Radon measure for the solut...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2010
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.11.012