Nagumo条件下p-Laplace方程边值问题解的存在性

THE EXISTENCE OF SOLUTIONS FOR p-LAPLACE EQUATIONS AT NAGUMO CONDITION

研究了如下一维p-Laplace方程Neumann边值问题(?)解的存在性,这里φ_p(s)=|s|^(p-2)s.通过使用上下解方法和度理论,获得了边值问题解的存在性结果.

Abstract This paper discusses the following boundary value problem for one dimensional p-Laplace equation：（φp（u＇（t）））＇=f（t,u（t）,u＇（t））,t∈（0,1）,/u＇（0）=u＇（1）=0,where φp（s）=｜s｜p-2s,P〉1By using the upper and lower solution method and degreetheory, the sufficient conditions of the existence of solutions for p-Laplace equation subject to Neumann boundary value condition are established.