scholarly journals Second-Order Elliptic Equation with Singularities

2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
Hichem Boughazi
Keyword(s):  
Riemannian Manifold ◽  
Elliptic Equation ◽  
Compact Riemannian Manifold ◽  
Second Order ◽  
Singular Equation ◽  
Order Elliptic Equation ◽  
Nontrivial Solutions ◽  
Geometric Application ◽  
Second Order Elliptic Equation

On the compact Riemannian manifold of dimension n≥5, we study the existence and regularity of nontrivial solutions for nonlinear second-order elliptic equation with singularities. At the end, we give a geometric application of the above singular equation.

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