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Type: Artigo de Periódico
Title: Trudinger-moser Inequalities Involving Fast Growth And Weights With Strong Vanishing At Zero
Author: de Figueiredo
DG; do O
JMB; dos Santos
Abstract: In this paper we study some weighted Trudinger-Moser type problems, namely S-F,S-h = sup(u is an element of H,parallel to u parallel to H=1) integral F-B(u)h(vertical bar x vertical bar)dx, where B subset of R-2 represents the open unit ball centered at zero in R-2 and H stands either for H-0,rad(1) (B) or H-rad(1) (B). We present the precise balance between h(r) and F(t) that guarantees s(F,h) to be finite. We prove that s(F,h) is attained up to the h(r)-radially critical case. In particular, we solve two open problems in the critical growth case.
Subject: Trudinger-moser Inequality
Henon Type Equation
Critical Growth Problem
Citation: Proceedings Of The American Mathematical Society. AMER MATHEMATICAL SOC, n. 144, n. 8, p. 3369 - 3380.
Rights: fechado
Identifier DOI: 10.1090/proc/13114
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

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