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 19 条

[1]

[Anonymous], 1969, Quelques methodes de resolution des problemes aux limites non lineaires

[2]

[Anonymous], 2000, Courant Lecture Notes

[3]

[Anonymous], 1965, ANN MATH STUD

[4]

Aubin T., 1976, J. Differential Geom, V11, P573, DOI DOI 10.4310/JDG/1214433725

[5]

Aubin T., 1982, Monge-Ampere Equations, V252

[6]

Benalili M., 2013, J DIFFER EQUATIONS, V254

[7]

Benalili M., 2009, DYN PDE, V6

[8]

Benalili M., 2003, ELECT J DIFERENTIAL, V106

[9]

Benalili M, 2013, ELECTRON J DIFFER EQ

[10] Existence and multiplicity of solutions to fourth order elliptic equations with critical exponent on compact manifolds [J].

Benalili, Mohammed .

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2010, 17 (04) :607-622

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