节点文献
拟线性椭圆方程在近共振处解的多重性
Multiple Solutions for Quasilinear Elliptic Equations Near Resonance
【摘要】 利用临界点理论证明了:具有Dirichlet边界条件的拟线性椭圆方程在近共振处多个解的存在性结果,其中椭圆方程在无穷远处满足次线性条件且是强制的.
【Abstract】 An existence theorem of multiple solutions is obtained for quasilinear elliptic equations with Dirichlet boundary conditions near resonance by using the critical point theorem,where the nonlinearity of the elliptic equations is the sublinear condition and coervice at infinity.
【关键词】 拟线性椭圆方程;
(PS)条件;
同调环绕;
近共振;
【Key words】 quasilinear elliptic equation; (PS)condition; homotopical linking; near resonance;
【Key words】 quasilinear elliptic equation; (PS)condition; homotopical linking; near resonance;
【基金】 国家自然科学基金资助项目(11101347);中央高校基本科研业务费专项资金项目(XDJK2011C039);重庆市博士后基金资助项目(Xm201319)
- 【文献出处】 西南大学学报(自然科学版) ,Journal of Southwest University(Natural Science Edition) , 编辑部邮箱 ,2014年08期
- 【分类号】O175.25
- 【被引频次】2
- 【下载频次】27