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一类拟线性椭圆方程的多重非负解

Multiplicity of Nonnegative Solutions for Some Quasilinear Elliptic Equations
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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.
作者 应惠芬
机构地区 杭州万向职业技术学院
出处 《武汉理工大学学报》 CAS CSCD 北大核心 2010年第5期161-164,共4页 Journal of Wuhan University of Technology
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 quasilinear elliptic problems nonnegative solutions multiplicity Ekeland variational principle mountain pass theorem
分类号 O175.25 [理学—基础数学]
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参考文献12

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武汉理工大学学报
2010年 第5期

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