一类拟线性椭圆方程的多重非负解  

Multiplicity of Nonnegative Solutions for Some Quasilinear Elliptic Equations

作　　者：应惠芬[1] 

机构地区：[1]杭州万向职业技术学院,杭州310023

出　　处：《武汉理工大学学报》2010年第5期161-164,共4页Journal of Wuhan University of Technology

摘　　要：研究一类拟线性椭圆方程的非负解的多重性。利用非线性项在无穷远处与零点处的渐近行为,应用Ekeland变分原理与山路引理得到2个非平凡的非负解。This paper is concerned with the multiplicity of nonnegative solutions of some quasilinear elliptic equations.Using the asymptotic behavior of the nonlinear-ity at infinity and at zero,we obtained two nontrivial nonnegative solutions by the Ekeland variational principle and mountain pass theorem.

关 键 词：拟线性椭圆方程 非负解 多重性 EKELAND变分原理 山路引理 

分 类 号：O175.25[理学—数学]