The Existence of the Radial Solution of a Kind of Singular p-Laplacian Equation
Zhou You-shi · Journal of Xuzhou Normal University · 2001
We investigate the existence of the radial solution of the p-Laplacian equation: div(|u| p-2 u)+|x| l|u| τ-1 u=0 (x∈B), with Dirichlet boundary value condition u| B =0, where B is the unit ball in N-dimensional space R N. By Mountain pass lemma, under the case pN, it is proved that there exists a nontrivial solution of the above boundary value problem.