On a planar equation involving (2, q)-Laplacian with zero mass and Trudinger-Moser nonlinearity

被引：0
|
作者：
Cardoso, J. A. [1 ]
de Albuquerque, J. C. [2 ]
Carvalho, J. [3 ]
Figueiredo, G. M. [4 ]
机构：
[1] Univ Fed Sergipe, Dept Math, BR-49100000 Sao Cristovao, SE, Brazil
[2] Univ Fed Pernambuco, Dept Matemat, BR-50670901 Recife, PE, Brazil
[3] Univ Fed Sergipe, Dept Matemat, BR-49100000 Sao Cristovao, SE, Brazil
[4] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2025年 / 81卷
关键词：
Zero mass case; Weighted Sobolev embedding; Trudinger-Moser inequality; LINEAR ELLIPTIC-EQUATIONS; EXPONENTIAL-GROWTH; POSITIVE SOLUTIONS; WEAK SOLUTIONS; REGULARITY; EXISTENCE; INEQUALITY;
D O I：
10.1016/j.nonrwa.2024.104227
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we study existence of positive solutions to a class of (2, q)-equations in the zero mass case in R-2. We establish a weighted Sobolev embedding and we introduce a new Trudinger-Moser type inequality. Moreover, since we work on a suitable radial Sobolev space, we prove an appropriate version of the well-known Symmetric Criticality Principle by Palais. Finally, we study regularity of solutions applying Moser iteration scheme.
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页数：17
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