Existence of W01,1(Ω) solutions to nonlinear elliptic equation with singular natural growth term

被引：3

作者：

Ri, Maoji ^{[1
]}

Huang, Shuibo ^{[1
,2
]}

Tian, Qiaoyu ^{[1
]}

Ma, Zhan-Ping ^{[3
]}

机构：

[1] Northwest Minzu Univ, Sch Math & Comp Sci, Lanzhou 730030, Gansu, Peoples R China

[2] Northwest Minzu Univ, Key Lab Streaming Data Comp Technol & Applicat, Lanzhou 730030, Gansu, Peoples R China

[3] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Henan, Peoples R China

来源：

AIMS MATHEMATICS | 2020年 / 5卷 / 06期

基金：

中国国家自然科学基金;

关键词：

noncoercivity; existence; nonlinear elliptic equation; DEGENERATE COERCIVITY; NONEXISTENCE;

D O I：

10.3934/math.2020371

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence of W-0(1,1)(Omega) solutions to the following elliptic equation with principal part having noncoercivity and singular quadratic term {-div (del u/(1+vertical bar u vertical bar(gamma)) + vertical bar del u vertical bar/u(theta )= f, x is an element of Omega, u = 0, x is an element of partial derivative Omega, where Omega is a bounded smooth domain of R-N ( N >= 3), gamma > 0, N/ n-1 <= theta < 2, f is an element of L-m(Omega)(m >= 1) is a nonnegative function.

引用

页码：5791 / 5800

页数：10

共 50 条

[21] Existence and uniqueness of positive solutions for singular nonlinear elliptic boundary value problems
Lei, Peidong
Lin, Xiaonin
Jiang, Daqing
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (09) : 2773 - 2779
[22] Existence and some properties of weak solutions for a singular nonlinear parabolic equation
Qiang, Liu
Zheng'an, Yao
Wenshu, Zhou
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2007, 30 (11) : 1329 - 1353
[23] Existence of positive entire solutions for singular and non-singular quasi-linear elliptic equation
Yang, Zuodong
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 197 (02) : 355 - 364
[24] Four solutions of an inhomogeneous elliptic equation with critical exponent and singular term
Chen, Jianqing
Rocha, Eugenio M.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) : 4739 - 4750
[25] Existence of Positive Solutions for a Singular Hessian Equation with a Negative Augmented Term
Zhang, Xinguang
Chen, Peng
Wu, Yonghong
Wiwatanapataphee, Benchawan
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (02)
[26] Large solutions for quasilinear elliptic equation with nonlinear gradient term
Chen, Yujuan
Wang, Mingxin
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (01) : 455 - 463
[27] SINGULAR SOLUTIONS OF A HENON EQUATION INVOLVING A NONLINEAR GRADIENT TERM
Cowan, Craig
Razani, Abdolrahman
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022, 21 (01) : 141 - 158
[28] Existence and blow up of solutions to a Petrovsky equation with memory and nonlinear source term
Tahamtani, Faramarz
Shahrouzi, Mohammad
BOUNDARY VALUE PROBLEMS, 2012,
[29] On the existence of weak solutions to a class of nonlinear elliptic systems with drift term
Cirmi, G. R.
D'Asero, S.
Leonardi, S.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 491 (02)
[30] EXISTENCE OF SOLUTIONS TO A CLASS OF NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS WITH SINGULAR CONVECTIVE TERMS
Sanni, Sikiru Adigun
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2011, 7 (02): : 137 - 149

← 1 2 3 4 5 →