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

[41] WEIGHTED CRITICAL HENON EQUATIONS WITH P-LAPLACIAN ON THE UNIT BALL IN RN
Wang, Cong
Su, Jiabao
JOURNAL D ANALYSE MATHEMATIQUE, 2023, 149 (02): : 643 - 676
[42] MAXIMAL OPERATORS FOR THE p-LAPLACIAN FAMILY
Blanc, Pablo
Pinasco, Juan P.
Rossi, Julio D.
PACIFIC JOURNAL OF MATHEMATICS, 2017, 287 (02) : 257 - 295
[43] On Weak Solutions to Parabolic Problem Involving the Fractional p-Laplacian Via Young Measures
Talibi, Ihya
Balaadich, Farah
El Boukari, Brahim
El Ghordaf, Jalila
ANNALES MATHEMATICAE SILESIANAE, 2024,
[44] On a parabolic p-Laplacian system with a convective term
Crispo, Francesca
Di Feola, Angelica Pia
ANNALI DI MATEMATICA PURA ED APPLICATA, 2024, : 1119 - 1146
[45] Quasilinear parabolic equations with p(x)-Laplacian diffusion terms and nonlocal boundary conditions
Rahmoune, Abita
Benabderrahmane, Benyattou
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2019, 64 (01): : 103 - 118
[46] Quasilinear eigenvalue problems with singular weights for the p-Laplacian
Drabek, Pavel
Hernandez, Jesus
ANNALI DI MATEMATICA PURA ED APPLICATA, 2019, 198 (04) : 1069 - 1086
[47] Elliptic equations involving the p-Laplacian and a gradient term having natural growth
de Figueiredo, Djairo Guedes
Gossez, Jean-Pierre
Quoirin, Humberto Ramos
Ubilla, Pedro
REVISTA MATEMATICA IBEROAMERICANA, 2019, 35 (01) : 173 - 194
[48] SIGN-CHANGING SOLUTIONS TO A CLASS OF NONLINEAR EQUATIONS INVOLVING THE p-LAPLACIAN
Wang, Wei-Chuan
Cheng, Yan-Hsiou
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2017, 47 (03) : 971 - 996
[49] ON A SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN OPERATORS AND INTEGRAL BOUNDARY CONDITIONS
Luca, Rodica
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 2021, 66 (3-4): : 749 - 766
[50] Solution for a class of quasilinear elliptic equation with p-Laplacian
Xiu, Zonghu
ADVANCES IN CIVIL AND INDUSTRIAL ENGINEERING, PTS 1-4, 2013, 353-356 : 3182 - 3185

← 1 2 3 4 5 →