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.
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页数：27
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