摘要
The existence of solutions for one dimensional p-Laplace equation (φ p (u ′) )′ = f (t , u , u′) with t ∈ (0,1) and 2 ( ) p φp s s s ? = , s ≠ 0 subjected to Neumann boundary value problem at u′( 0) = 0 ,u′( 1) = 0. By using the degree theory, the sufficient conditions of the existence of solutions for p-Laplace equation subjected to Neumann boundary value condition are established.
The existence of solutions for one dimensional p-Laplace equation (φp(u′))′=f(t,u,u′) with t∈(0,1) and Фp(s)=|s|^p-2 s, s≠0 subjected to Neumann boundary value problem at u′(0) = 0, u′(1) = 0. By using the degree theory, the sufficient conditions of the existence of solutions for p-Laplace equation subjected to Neumann boundary value condition are established.
关键词
拉普拉斯方程
诺曼边值问题
p-Laplace equation
neumann boundary value problem
degree theory