A Trudinger-Moser type inequality in a strip and applications

被引：0

作者：

de Souza, Manasses X. ^{[1
]}

机构：

[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, PB, Brazil

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 140卷

关键词：

Nonlinear elliptic equations; Trudinger-Moser inequality; Critical exponents; ELLIPTIC-EQUATIONS;

D O I：

10.1016/j.aml.2023.108581

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with an improvement of the Trudinger-Moser inequality for the Sobolev space W1,N(ohm) involving domains of the type ohm = RN-1 x (a, b), where N >= 2 and a < b. As an application of this result and by using minimax methods, we establish sufficient conditions for the existence of solutions for a class of elliptic problems with Neumann boundary conditions and nonlinearities with critical exponential growth. (c) 2023 Elsevier Ltd. All rights reserved.

引用

页数：6

共 13 条

[1] On a weighted Sobolev embedding on the upper half-space in a borderline case [J].

Abreu, E. A. M. ;

Medeiros, E. S. ;

Yang, J. .

ANNALI DI MATEMATICA PURA ED APPLICATA, 2022, 201 (06) :2715-2732

[2]

Adimurthi A., 1990, ANN SC NORM SUPER PI, V17, P393

[3]

[Anonymous], 1997, Abstract and Applied Analysis, V2, P301

[4] Remarks on the Moser-Trudinger inequality [J].

Battaglia, Luca ;

Mancini, Gabriele .

ADVANCES IN NONLINEAR ANALYSIS, 2013, 2 (04) :389-425

[5] Moser-Trudinger inequalities without boundary conditions and isoperimetric problems [J].

Cianchi, A .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2005, 54 (03) :669-705

[6] ELLIPTIC EQUATIONS AND SYSTEMS WITH CRITICAL TRUDINGER-MOSER NONLINEARITIES [J].

de Figueiredo, Djairo G. ;

do O, Joao Marcos ;

Ruf, Bernhard .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 30 (02) :455-476

[7] ELLIPTIC-EQUATIONS IN R(2) WITH NONLINEARITIES IN THE CRITICAL GROWTH RANGE [J].

DEFIGUEIREDO, DG ;

MIYAGAKI, OH ;

RUF, B .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 1995, 3 (02) :139-153

[8] A sharp Trudinger-Moser type inequality for unbounded domains in Rn [J].

Li, Yuxiang ;

Ruf, Bernhard .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2008, 57 (01) :451-480

[9] SYMMETRY AND COMPACTNESS IN SOBOLEV SPACES [J].

LIONS, PL .

JOURNAL OF FUNCTIONAL ANALYSIS, 1982, 49 (03) :315-334

[10] SHARP FORM OF AN INEQUALITY BY N TRUDINGER [J].

MOSER, J .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1971, 20 (11) :1077-&

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