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

[1] Multiplicity of solutions for a class of quasilinear equations with exponential critical growth
de Freitas, Luciana R.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 95 : 607 - 624
[2] MULTIPLICITY OF NONRADIAL SOLUTIONS FOR A CLASS OF QUASILINEAR EQUATIONS ON ANNULUS WITH EXPONENTIAL CRITICAL GROWTH
Alves, Claudianor O.
de Freitas, Luciana R.
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2012, 39 (02) : 243 - 262
[3] Multiplicity results for a class of quasilinear equations with exponential critical growth
Alves, Claudianor O.
de Freitas, Luciana R.
MATHEMATISCHE NACHRICHTEN, 2018, 291 (2-3) : 222 - 244
[4] MULTIPLE SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS WITH CRITICAL GROWTH
Wang, Youjun
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 48 (06) : 1269 - 1283
[5] Existence of nontrivial solutions to quasilinear polyharmonic equations with critical exponential growth
Goyal, Sarika
Sreenadh, Konijeti
ADVANCES IN PURE AND APPLIED MATHEMATICS, 2015, 6 (01) : 1 - 11
[6] On a Class of Quasilinear Equations Involving Critical Exponential Growth and Concave Terms in RN
Santos, Jefferson Abrantes
Severo, Uberlandio B.
ANNALES HENRI POINCARE, 2022, 23 (01): : 1 - 24
[7] On a class of nonhomogeneous fractional quasilinear equations in with exponential growth
de Souza, Manasses
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2015, 22 (04): : 499 - 511
[8] Multiple solutions for a class of fractional quasi-linear equations with critical exponential growth in RN
Li, Qin
Yang, Zuodong
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2016, 61 (07) : 969 - 983
[9] Existence of Multiple Solutions for a Class Non-uniformly Elliptic Equations with Critical Exponential Growth
Khademloo, S.
Babagolzadeh, M.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2018, 44 (03) : 561 - 573
[10] Existence of Multiple Solutions for a Class Non-uniformly Elliptic Equations with Critical Exponential Growth
S. Khademloo
M. Babagolzadeh
Bulletin of the Iranian Mathematical Society, 2018, 44 : 561 - 573

← 1 2 3 4 5 →