Applications of p-harmonic transplantation for functional inequalities involving a Finsler norm

Sadaf Habibi () and Futoshi Takahashi ()
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Sadaf Habibi: Osaka City University
Futoshi Takahashi: Osaka City University

Partial Differential Equations and Applications, 2022, vol. 3, issue 3, 1-17

Abstract: Abstract In this paper, we prove several inequalities such as Sobolev, Poincaré, logarithmic Sobolev, which involve a general norm with accurate information of extremals, and are valid for some symmetric functions. We use Ioku’s transformation, which is a special case of p-harmonic transplantation, between symmetric functions.

Keywords: Finsler norm; Functional inequalities; p-harmonic transplantation; 26D10; 46E35 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s42985-022-00168-1

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