New existence theory of positive solutions to fourth order p -Laplacian elasticity problems

Boundary value problems

Yaling Zhou¹  XueMei Zhang² 

[1] Department of Mathematics and Physics, North China Electric Power University, Beijing, People’s Republic of China

关键词: fourth order p-Laplacian elasticity problems;    transformation technique;    positive solutions;    estimate on the norm;   

DOI  :  10.1186/s13661-015-0470-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Using a new technique for dealing with the bending term of the fourth order p-Laplacian elasticity problems, several new and more general results are obtained for the existence of at least single, twin or triple positive solutions. It is interesting to point out that estimates on the norms of these solutions will also be provided.

【 授权许可】

CC BY