一类带p-Laplace算子边值问题三个正解的存在性

Existence of Three Positive Solutions of the p-Laplace Operator with a Boundary Value Problems

研究了边值问题(Φp(u′))′(t)+q(t)f(t,u(t),u′(t))=0,0<t<1,u′(0)=sum αiu′(εi) from i=1 to n,u(1)=sum βiu(εi) from i=1 to n,在C1[0,1]上存在正解.方法是将边值问题转化为积分方程,通过建立算子,运用不动点定理.

Boundary value problems （Φp（u′））′（t）＋q（t）f（t,u（t）,u′（t））=0,0t1,u′（0）=sum αiu′（εi） from i=1 to n,u（1）=sum βiu（εi） from i=1 to n are discussed.The boundary value problem is transformed into integral equation,through the establishment of operator,and using the fixed point theorem.