A UNIFIED APPROACH TO MATUKUMA TYPE EQUATIONS ON THE HYPERBOLIC SPACE OR ON A SPHERE

作者：Kabeya Yoshitsugu^*

来源：Discrete and Continuous Dynamical Systems, 2013, 385-391.

• Matukuma type equations
• hyperbolic space
• spherical cap

In this note, we consider the following Matukuma type equation on the hyperbolic space or on a spherical cap of the unit sphere under the homogeneous Dirichlet boundary condition <br xmlns:set="http://exslt.org/sets">Lambda u + K(x)u(+)(p) = 0,
where Lambda is the Laplace-Beltrami operator on the hyperbolic space or on the unit sphere. Under suitable assumptions on K, we determine the structure of positive solutions.

• 出版日期2013-11