<p>In this paper, we study the existence, nonexistence and multiplicity of positive solutions for a non-variational elliptic system involving singular nonlinearities and two parameters. First, we introduce a system equivalent to the original system, and then we employ the Leray–Schauder topological degree, the sub-supersolution method and the Blow Up method to prove our main result.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Positive solutions for a non-variational elliptic system with singular nonlinearities

  • Ricardo Lima Alves

摘要

In this paper, we study the existence, nonexistence and multiplicity of positive solutions for a non-variational elliptic system involving singular nonlinearities and two parameters. First, we introduce a system equivalent to the original system, and then we employ the Leray–Schauder topological degree, the sub-supersolution method and the Blow Up method to prove our main result.