SOLVING p-LAPLACIAN EQUATIONS ON COMPLETE MANIFOLDS

被引:0
|
作者
Benalili, Mohammed [1 ]
Maliki, Youssef [1 ]
机构
[1] Univ Abou Bekr Belkaid Tlemcen, Fac Sci, Dept Math, Tilimsen, Algeria
关键词
Differential geometry; nonlinear partial differential equations;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Using a reduced version of the sub and super-solutions method, we prove that the equation Delta(p)u + ku(p-1) - Ku(p*-1) = 0 has a positive solution on a complete Riemannian manifold for appropriate functions k, K : M -> R.
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页数:9
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