Multiple Solutions for a Class of Quasilinear Equations with Critical Exponential Growth

被引：0

作者：

Qin LI ^{[1
]}

Zhen ZHI ^{[2
]}

Zuodong YANG ^{[3
]}

机构：

[1] School of Statistics and Applied Mathematics, Anhui University of Finance and Economics

[2] School of Mathematics Science, Nanjing Normal University

[3] School of Teacher Education, Nanjing University of Information Science and Technology

来源：

Journal of Mathematical Research with Applications | 2021年 / 41卷 / 05期

关键词：

multiple solutions; quasilinear equations; critical exponential growth;

D O I：

暂无

中图分类号：

O241.6 [线性代数的计算方法];

学科分类号：

摘要：

In this paper, we consider a class of quasilinear equations involving a nonlinearity term having critical exponential growth. By using Mountain Pass Theorem, Ekeland’s variational principle and inequalities of the type Trudinger-Moser, we obtain the existence of at least two positive weak solutions.

引用

页码：497 / 509

页数：13

共 50 条

[21] Multiple Solutions of Quasilinear Schrodinger Equations with Critical Growth Via Penalization Method
Zhang, Hui
Du, Miao
Zhu, Min
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (06)
[22] Asymptotically periodic quasilinear Schrodinger equations with critical exponential growth
Severo, Uberlandio B.
Germano, Diogo de S.
JOURNAL OF MATHEMATICAL PHYSICS, 2021, 62 (11)
[23] Multiple solutions for a class of quasilinear Schrodinger equations in RN
Chen, Caisheng
JOURNAL OF MATHEMATICAL PHYSICS, 2015, 56 (07)
[24] Solutions for a class of singular quasilinear equations involving critical growth in R2
de Souza, Manasses X.
Severo, Uberlandio B.
Vieira, Gilberto F.
MATHEMATISCHE NACHRICHTEN, 2022, 295 (01) : 103 - 123
[25] Positive solutions of quasilinear Schrodinger equations with critical growth
Wu, Ke
APPLIED MATHEMATICS LETTERS, 2015, 45 : 52 - 57
[26] Soliton solutions for quasilinear Schrodinger equations with critical growth
Bezerra do O, Joao M.
Miyagaki, Olimpio H.
Soares, Sergio H. M.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 248 (04) : 722 - 744
[27] Multibump solutions for quasilinear elliptic equations with critical growth
Liu, Jiaquan
Wang, Zhi-Qiang
Wu, Xian
JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (12)
[28] Solutions for a class of quasilinear Schrodinger equations with critical Sobolev exponents
Li, Zhouxin
Zhang, Yimin
JOURNAL OF MATHEMATICAL PHYSICS, 2017, 58 (02)
[29] Multiple solutions for quasilinear elliptic problems¶in ℝ2 with exponential growth
Marco Squassina
Cristina Tarsi
manuscripta mathematica, 2001, 106 : 315 - 337
[30] Multiple Solutions of Quasilinear Schrödinger Equations with Critical Growth Via Penalization Method
Hui Zhang
Miao Du
Min Zhu
Mediterranean Journal of Mathematics, 2021, 18

← 1 2 3 4 5 →