广东第二师范学院学报
廣東第二師範學院學報
엄동제이사범학원학보
Journal of Guangdong Education Institute
2012年
5期
32~37
,共null页
正整解 等度连续 相对紧 不动点定理
正整解 等度連續 相對緊 不動點定理
정정해 등도련속 상대긴 불동점정리
positive entire solution; equicontinuity; relative compactness; fixed point theorem
以Schauder—Tychonoff不动点定理为工具,应用上解、下解的方法,研究一类拟线性椭圆型方程div(|Du|^p-2Du)=f(x,u,Du)正整解的存在性.
以Schauder—Tychonoff不動點定理為工具,應用上解、下解的方法,研究一類擬線性橢圓型方程div(|Du|^p-2Du)=f(x,u,Du)正整解的存在性.
이Schauder—Tychonoff불동점정리위공구,응용상해、하해적방법,연구일류의선성타원형방정div(|Du|^p-2Du)=f(x,u,Du)정정해적존재성.
In this paper, our aim is to study the existence of positive entire solutions for a class quasilinear elliptic equations div(|Du|^p-2Du)=f(x,u,Du) with the Schauder-Tychonoff fixed point theorem as the principal tool and the methods of pupersolution and subsolution.