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....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.展开更多
文摘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.