摘要
目的研究在超线性条件下,p Laplacian二阶算子系统正解的存在性和多解性问题.方法应用锥上不动点理论,从引理出发,通过理论分析和抽象证明来推导新的结果.结果特殊条件下p Laplacian算子方程存在两个不动点,并给出了新的定理,即在零点和无穷远点同时满足超线性条件时,p Laplacian二阶算子系统存在两个正解.结论笔者的研究方法与分析结果为p Laplacian算子方程正解的存在性及多解性进一步分析提供条件.
Special existence and multiplicity of positive solutions for second-order operator system is studied, under superlinear conditions. Applying fixed point cone theory, a kind of new result is analyzed and deduced from lemma. The result of existing two fixedpoint under special condition is obtained, that is to say Second -Order Differential Systems exist tow nonnegative solutions, if superlinear conditions are satisfied in zero point and infinitely- distant point. New theorem is proposed. It can be used to offer further analysis for p- Laplacian operator equation.
出处
《沈阳建筑大学学报（自然科学版）》
CAS
2007年第6期1053-1056,共4页
Journal of Shenyang Jianzhu University：Natural Science
基金
国家自然基金项目(60574011)
