The Petty projection inequality for sets of finite perimeter

نویسندگان

چکیده

The Petty projection inequality for sets of finite perimeter is proved. Our approach based on Steiner symmetrization. Neither the affine Sobolev nor functional Minkowski problem used in our proof. Moreover, perimeter, we prove with respect to

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Stronger versions of the Orlicz-Petty projection inequality

We verify a conjecture of Lutwak, Yang, Zhang about the equality case in the Orlicz-Petty projection inequality, and provide an essentially optimal stability version. The Petty projection inequality (Theorem 1), its Lp extension, and its analytic counterparts, the Zhang-Sobolev inequality [43] and its Lp extension by A. Cianchi, E. Lutwak, D. Yang, G. Zhang [8, 32], are fundamental affine isope...

متن کامل

A Note on Sets of Finite Perimeter in the Plane

The aim of this paper is to study the minimal perimeter problem for sets containing a fixed set E in R2 in a very general setting, and to give the explicit solution. This Article is Dedicated to Paolo Marcellini on the Occasion of His Sixtieth Birthday

متن کامل

The L-busemann-petty Centroid Inequality

The ratio between the volume of the p-centroid body of a convex body K in Rn and the volume of K attains its minimum value if and only if K is an origin symmetric ellipsoid. This result, the Lp-Busemann-Petty centroid inequality, was recently proved by Lutwak, Yang and Zhang. In this paper we show that all the intrinsic volumes of the p-centroid body of K are convex functions of a time-like par...

متن کامل

Sets with Finite H-perimeter and Controlled Normal

In the Heisenberg group, we prove that the boundary of sets with finite H-perimeter and having a bound on the measure theoretic normal is an H-Lipschitz graph. Then we show that if the normal is, on the boundary, the restriction of a continuous mapping, then the boundary is an H-regular surface.

متن کامل

study of cohesive devices in the textbook of english for the students of apsychology by rastegarpour

this study investigates the cohesive devices used in the textbook of english for the students of psychology. the research questions and hypotheses in the present study are based on what frequency and distribution of grammatical and lexical cohesive devices are. then, to answer the questions all grammatical and lexical cohesive devices in reading comprehension passages from 6 units of 21units th...

ذخیره 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: Calculus of Variations and Partial Differential Equations

سال: 2021

ISSN: ['0944-2669', '1432-0835']

DOI: https://doi.org/10.1007/s00526-021-02074-7