Study of a Second-Order Nonlinear Elliptic Problem Generated by a Divergence Type Operator on a Compact Riemannian Manifold
被引:1
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作者:
Abnoune, A.
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机构:
Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Lab Math Anal & Applicat, Fes, MoroccoSidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Lab Math Anal & Applicat, Fes, Morocco
Abnoune, A.
[1
]
Azroul, E.
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Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Lab Math Anal & Applicat, Fes, MoroccoSidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Lab Math Anal & Applicat, Fes, Morocco
Azroul, E.
[1
]
Abbassi, M. T. K.
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Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Lab Math ALgebra & Geometry, Lab Math, Fes, MoroccoSidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Lab Math Anal & Applicat, Fes, Morocco
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
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.
机构:
Waseda Univ, Fac Educ & Integrated Arts & Sci, Dept Math, Shinjuku Ku, Tokyo 1698050, Japan
King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi ArabiaTohoku Univ, Math Inst, Aoba Ku, Sendai, Miyagi 9808578, Japan
Ishii, Hitoshi
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,
2012,
29
(05):
: 783
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812
机构:
Dept. of Math. and Computing Science, Eindhoven University of Technology, 5600 MB EindhovenDept. of Math. and Computing Science, Eindhoven University of Technology, 5600 MB Eindhoven
Ter Elst A.F.M.
Robinson D.W.
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机构:
Ctr. for Math. and Its Applications, School of Mathematical Sciences, Australian National University, CanberraDept. of Math. and Computing Science, Eindhoven University of Technology, 5600 MB Eindhoven
Robinson D.W.
Sikora A.
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机构:
Ctr. for Math. and Its Applications, School of Mathematical Sciences, Australian National University, CanberraDept. of Math. and Computing Science, Eindhoven University of Technology, 5600 MB Eindhoven