【摘要】 主要讨论一维p-Laplace方程(φ_p(u′(t)))′=f(t,u(t),u′(t)),t∈(0,1)在Neumann边值条件u′(0)=0,u′(1)=0下,对应的边值问题解的存在性.通过使用度理论,在适当的条件下,建立了对于p-Laplace方程在Neumann条件下解的存在性的充分条件.更多还原

【Abstract】 In this paper,the existence of solutions is considered for one dimensional p-Laplace equation(φ_p(u′(t)))′= f(t,u(t),u′(t)),t∈(0,1)subject to Neumann boundary con- dition.By using the degree theory,some sufficient conditions of the existence of solutions for p-Laplace equation subject to Neumann boundary condition are established.更多还原