On quasilinear parabolic equations involving weighted p-Laplacian operators

被引：32

作者：

Cung The Anh ^{[1
]}

Tran Dinh Ke ^{[1
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, Hanoi, Vietnam

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2010年 / 17卷 / 02期

关键词：

Degenerate parabolic equation; m-semiflow; Global solution; Global attractor; Compact embedding; Weighted p-Laplacian operator; GLOBAL ATTRACTORS; ASYMPTOTIC-BEHAVIOR; SEMIFLOWS; EXISTENCE;

D O I：

10.1007/s00030-009-0048-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the initial boundary value problem for a class of quasilinear parabolic equations involving weighted p-Laplacian operators in an arbitrary domain, in which the conditions imposed on the non-linearity provide the global existence, but not uniqueness of solutions. The long-time behavior of the solutions to that problem is considered via the concept of global attractor for multi-valued semiflows. The obtained results recover and extend some known results related to the p-Laplacian equations.

引用

页码：195 / 212

页数：18

共 50 条

[1] On quasilinear parabolic equations involving weighted p-Laplacian operators
Cung The Anh
Tran Dinh Ke
Nonlinear Differential Equations and Applications NoDEA, 2010, 17 : 195 - 212
[2] Long-time behavior for quasilinear parabolic equations involving weighted p-Laplacian operators
Anh, Cung The
Ke, Tran Dinh
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) : 4415 - 4422
[3] Uniform attractors for nonautonomous parabolic equations involving weighted p-Laplacian operators
Cung The Anh
Nguyen Van Quang
ANNALES POLONICI MATHEMATICI, 2010, 98 (03) : 251 - 271
[4] Pullback attractors for nonautonomous parabolic equations involving weighted p-Laplacian operators
Cung The Anh
Tang Quoc Bao
ANNALES POLONICI MATHEMATICI, 2011, 101 (01) : 1 - 19
[5] On some quasilinear equations involving the p-Laplacian with Robin boundary conditions
Duchateau, Xavier
APPLICABLE ANALYSIS, 2013, 92 (02) : 270 - 307
[6] The asymptotic behavior for anisotropic parabolic p-Laplacian equations
Qian, Chenyin
Yuan, Daorui
MATHEMATISCHE NACHRICHTEN, 2020, 293 (10) : 1968 - 1984
[7] On a Nonlinear PDE Involving Weighted p-Laplacian
El Khalil, A.
Alaoui, M. D. Morchid
Laghzal, M.
Touzani, A.
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2020, 38 (05): : 131 - 145
[8] Decay rate estimates for a class of quasilinear hyperbolic equations with damping terms involving p-Laplacian
Wu, Yuhu
Xue, Xiaoping
JOURNAL OF MATHEMATICAL PHYSICS, 2014, 55 (12)
[9] Multiple small solutions for Schrodinger equations involving the p-Laplacian and positive quasilinear term
Chong, Dashuang
Zhang, Xian
Huang, Chen
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2020, (31) : 1 - 16
[10] Bounded solutions to a quasilinear and singular parabolic equation with p-Laplacian
Bougherara, B.
Giacomoni, J.
Takac, P.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 119 : 254 - 274

← 1 2 3 4 5 →