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.

引用

页数：17

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