A result on three solutions theorem and its application to p-Laplacian systems with singular weights

作者：Lee Eun Kyoung; Lee Yong Hoon^*

来源：Boundary Value Problems, 2012, 63.

DOI：10.1186/1687-2770-2012-63

• p-Laplacian system
• singular weight
• upper solution
• lower solution
• three solutions theorem

In this paper, we consider p-Laplacian systems with singular weights. Exploiting Amann type three solutions theorem for a singular system, we prove the existence, nonexistence, and multiplicity of positive solutions when nonlinear terms have a combined sublinear effect at infinity.

• 出版日期2012