New fixed point theorems and applications to boundary value problems with p-Laplacian

作者：Xue Chunyan^*; Ge Weigao

来源：Computers & Mathematics with Applications, 2007, 53(5): 706-716.

DOI：10.1016/j.camwa.2006.12.006

• boundary value problem
• fixed point theorem
• positive solution

We obtain a new fixed point theorem in cone, which extend the Krasnosel' skii's compression-expansion theorem in cones. Under a quite relaxed condition two theorems for the existence of positive solutions of p-Laplacian boundary value problems are proved.

• 出版日期2007-3
• 单位首都师范大学; 北京理工大学; 北京市科学技术情报研究所