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

共 50 条

[21] Existence and Asymptotic Behaviour for the 2D-Generalized Quasilinear Schrodinger Equations Involving Trudinger-Moser Nonlinearity and Potentials
Chen, Jianhua
Wen, Xi
Huang, Xianjiu
Cheng, Bitao
JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (09)
[22] Finsler Trudinger-Moser inequalities on R~2
Nguyen Tuan Duy
Le Long Phi
Science China(Mathematics), 2022, 65 (09) : 1803 - 1826
[23] Concentration-compactness principle of singular Trudinger-Moser inequality involving N-Finsler-Laplacian operator
Liu, Yanjun
INTERNATIONAL JOURNAL OF MATHEMATICS, 2020, 31 (11)
[24] On solutions for a class of fractional Kirchhoff-type problems with Trudinger-Moser nonlinearity
de Souza, Manasses
Severo, Uberlandio B.
do Rego, Thiago Luiz
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2022, 24 (05)
[25] On Trudinger-Moser type inequalities involving Sobolev-Lorentz spaces
Ruf, Bernhard
Tarsi, Cristina
ANNALI DI MATEMATICA PURA ED APPLICATA, 2009, 188 (03) : 369 - 397
[26] Critical points of arbitrary energy for the Trudinger-Moser functional in planar domains
Malchiodi, Andrea
Martinazzi, Luca
Thizy, Pierre -Damien
ADVANCES IN MATHEMATICS, 2024, 442
[27] A planar Schrodinger-Newton system with Trudinger-Moser critical growth
Liu, Zhisu
Radulescu, Vicentiu D.
Zhang, Jianjun
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023, 62 (04)
[28] A Trudinger-Moser Inequality on a Compact Riemannian Surface Involving Gaussian Curvature
Yang, Yunyan
JOURNAL OF GEOMETRIC ANALYSIS, 2016, 26 (04) : 2893 - 2913
[29] Critical Points for a Functional Involving Critical Growth of Trudinger-Moser Type
do O, Joao Marcos
de Souza, Manasses
de Medeiros, Everaldo
Severo, Uberlandio
POTENTIAL ANALYSIS, 2015, 42 (01) : 229 - 246
[30] Existence of solutions to equations of N-Laplacian type with Trudinger-Moser nonlinearities
de Souza, Manasses
APPLICABLE ANALYSIS, 2014, 93 (10) : 2111 - 2125

← 1 2 3 4 5 →