A weighted higher-order adams inequality and applications

被引：0

作者：

de Souza, Manasses ^{[1
]}

Severo, Uberlandio ^{[1
]}

Silva, Lorena Maria ^{[1
]}

机构：

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

来源：

COLLECTANEA MATHEMATICA | 2025年

关键词：

Variational methods; Adams inequality; Critical growth; Higher-order elliptic equations; MOSER TYPE INEQUALITY; POLYHARMONIC EQUATIONS; ELLIPTIC-EQUATIONS; TRUDINGER INEQUALITIES; EXPONENTIAL-GROWTH; EXTREMAL-FUNCTIONS; UNBOUNDED-DOMAINS; SHARP FORM; POTENTIALS; EXISTENCE;

D O I：

10.1007/s13348-025-00470-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first establish a class of Adams-type inequalities involving potentials and weights that can decay to zero at infinity. As an application of this result and employing minimax methods, we investigate the existence of solutions for a class of problems involving an operator formed by powers of the Laplacian and a nonlinear term that may exhibit critical exponential growth.

引用

页数：27

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