p-Laplacian算子方程在射线上多点边值问题三个正解的存在性

Triple Positive Solutions for Multi-point Boundary Value Problems with One-dimensional p-Laplacian on the Half-line

利用Avery-Peterson不动点定理,在射线上讨论了如下p-Laplacian算子方程多点边值问题,{(φp(u′))′(t)+q(t)f(t,u(t),u′(t))=0,0<t<∞ u(0)=sum from i=1 to (n-2) αiu′(ξi),u′(∞)=0得到三个正解存在性定理.

We consider the multipoint boundary value problem for the one-dimensional p-Laplacian {（φp（u′））′（t）＋q（t）f（t,u（t）,u′（t））=0,0〈t〈∞ u（0）=∑i-1^n-2aiu＇（ξi）,u＇（∞）=0 By using a fixed point theorem due to Avery and Peterson, we study the existence of at least three positive solutions to the above boundary value problem.