Hardy-Poincaré type inequalities derived from p-harmonic problems

• Autorzy: Iwona Skrzypczak
• Języki publikacji: EN

Abstrakty

EN

We apply general Hardy type inequalities, recently obtained by the author. As a consequence we obtain a family of Hardy-Poincaré inequalities with certain constants, contributing to the question about precise constants in such inequalities posed in [3]. We confirm optimality of some constants obtained in [3] and [8]. Furthermore, we give constants for generalized inequalities with the proof of their optimality.

Kategorie tematyczne

• 26D15: Inequalities for sums, series and integrals
• 35R45: Partial differential inequalities
• 35J60: Nonlinear elliptic equations
• 26D10: Inequalities involving derivatives and differential and integral operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2014
• Tom: 101
• Numer: 1
• Strony: 225-238

Daty

wydano

2014

Twórcy

autor

Iwona Skrzypczak

• Faculty of Mathematics, Informatics, and Mechanics, University of Warsaw, ul. Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/bc101-0-17