Study of a Second-Order Nonlinear Elliptic Problem Generated by a Divergence Type Operator on a Compact Riemannian Manifold

被引：1

作者：

Abnoune, A. ^{[1
]}

Azroul, E. ^{[1
]}

Abbassi, M. T. K. ^{[2
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Lab Math Anal & Applicat, Fes, Morocco

[2] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Lab Math ALgebra & Geometry, Lab Math, Fes, Morocco

来源：

FILOMAT | 2018年 / 32卷 / 14期

关键词：

Riemannian manifold; Covariant derivative; Operator of divergence type (or type leray-Lion);

D O I：

10.2298/FIL1814811A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will study a second-order nonlinear elliptic problem generated by an operator of divergence type (or type leray-Lion) : (P1){A(u) = f in M u = 0 on Gamma (1) on (M, g) a compact Riemannian manifold et Gamma its border.

引用

页码：4811 / 4820

页数：10

共 6 条

[1] Existence of solutions for a nonlinear elliptic problem on a Riemannian manifold
Hirano, Norimichi
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 368 (02) : 400 - 412
[2] Multiple existence of solutions for a nonlinear elliptic problem on a Riemannian manifold
Hirano, Norimichi
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (02) : 671 - 692
[3] Inequalities for lower order eigenvalues of second order elliptic operators in divergence form on Riemannian manifolds
Sun, He-Jun
Chen, Da-Guang
ARCHIV DER MATHEMATIK, 2013, 101 (04) : 381 - 393
[4] Inequalities for lower order eigenvalues of second order elliptic operators in divergence form on Riemannian manifolds
He-Jun Sun
Da-Guang Chen
Archiv der Mathematik, 2013, 101 : 381 - 393
[5] Separation Problem for Second Order Elliptic Differential Operators on Riemannian Manifolds
Atia, H. A.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 19 (02) : 229 - 240
[6] SYNTHETIC NONLINEAR SECOND-ORDER OSCILLATORS ON RIEMANNIAN MANIFOLDS AND THEIR NUMERICAL SIMULATION
Fiori, Simone
Cervigni, Italo
Ippoliti, Mattia
Menotta, Claudio
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (03): : 1227 - 1262

← 1 →