机构地区: 南阳师范学院数学与统计学院
出 处: 《西安文理学院学报(自然科学版)》 2009年第4期36-38,共3页
摘 要: 在H10,k(Ω)空间中研究了一类带有扰动项的拟渐近线性椭圆方程问题非负弱解的存在性,利用一种山路引理的变形,证明了当h(x)和f(x,u)满足一定条件时,其正能量解u在H10,k(Ω)空间中是存在的. This paper study the existence of nonnegative weak solution of the quasi-asymptotically linear elliptic equation with perturbed term in H10X(Ω).It was proved that the equation has one positive energy solution u by a variant version of Mountain Pass Lemma,whenh(x)andf(x,u)satisfy certain conditions.
领 域: [理学]