Equivalence of sharp Trudinger-Moser-Adams Inequalities | Zendy

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Equivalence of sharp Trudinger-Moser-Adams Inequalities

Author(s) -

Nguyen Lam

Publication year - 2017

Publication title -

communications on pure andamp applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.077

H-Index - 42

eISSN - 1553-5258

pISSN - 1534-0392

DOI - 10.3934/cpaa.2017047

Subject(s) - equivalence (formal languages) , mathematics , inequality , pure mathematics , type (biology) , equivalence relation , set (abstract data type) , constant (computer programming) , mathematical analysis , computer science , geology , paleontology , programming language

Improved Trudinger-Moser-Adams type inequalities in the spirit of Lions were recently studied in [ 21 ]. The main purpose of this paper is to prove the equivalence of these versions of the Trudinger-Moser-Adams type inequalities and to set up the relations of these Trudinger-Moser-Adams best constants. Moreover, using these identities, we will investigate the existence and nonexistence of the optimizers for some Trudinger-Moser-Adams type ineq

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