Nonlinear elliptic p(u)-Laplacian problem with Fourier boundary condition

被引：5

作者：

Ouaro, Stanislas ^{[1
]}

Sawadogo, Noufou ^{[2
]}

机构：

[1] Univ Joseph KI ZERBO, UFR Sci Exactes & Appl, LAb Math & Informat LAMI, 03 BP 7021 Bobo 01, Ouagadougou, Burkina Faso

[2] Univ Nazi Boni, UFR Sci & Tech, 01 BP 1091 Bobo 01, Bobo Dioulasso, Burkina Faso

来源：

CUBO-A MATHEMATICAL JOURNAL | 2020年 / 22卷 / 01期

关键词：

variable exponent; p(u)-Laplacian; Young measure; Fourier boundary condition; entropy solution;

D O I：

10.4067/S0719-06462020000100085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a nonlinear elliptic p(u)- Laplacian problem with Fourier boundary conditions and L-1-data. The existence and uniqueness results of entropy solutions are established.

引用

页码：85 / 124

页数：40

共 24 条

[1] Structural stability for variable exponent elliptic problems, I: The p(x)-Laplacian kind problems
Andreianov, B.
Bendahmane, M.
Ouaro, S.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (01) : 2 - 24
[2] Structural stability for variable exponent elliptic problems, II: The p(u)-Laplacian and coupled problems
Andreianov, B.
Bendahmane, M.
Ouaro, S.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (12) : 4649 - 4660
[3] Uniqueness for an elliptic-parabolic problem with Neumann boundary condition
Andreianov, BP
Bouhsiss, F
[J]. JOURNAL OF EVOLUTION EQUATIONS, 2004, 4 (02) : 273 - 295
[4] L1 existence and uniqueness results for quasi-linear elliptic equations with nonlinear boundary conditions
Andreu, F.
Igbida, N.
Mazon, J. M.
Toledo, J.
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2007, 24 (01): : 61 - 89
[5] Andreu F., 1997, Adv. Math. Sci. Appl., V7, P183
[6] Antontsev S. N., 2006, Ann. Univ. Ferrara Sez. VII Sci. Mat, V52, P19, DOI [DOI 10.1007/S11565-006-0002-9, 10.1007/s11565-006-0002-9]
[7] BALL JM, 1989, LECT NOTES PHYS, V344, P207
[8] Benboubker MB, 2014, NONLINEAR EVOL EQU A, V5, P53
[9] Variable exponent, linear growth functionals in image restoration
Chen, Yunmei
Levine, Stacey
Rao, Murali
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 2006, 66 (04) : 1383 - 1406
[10] The p-harmonic system with measure-valued right hand side
Dolzmann, G
Hungerbuhler, N
Muller, S
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1997, 14 (03): : 353 - 364

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