【摘要】 本文考虑如下椭园问题：－Δｕ＝ｕｑｈ（ｕ－ａ），ｘ∈Ωｕ＞０，ｘ∈Ωｕ＝０，ｘ∈Ω其中ΩＲＮ为有界域，０＜ｑ＜１，ｈ（ｔ）＝１，ｔ≥００，ｔ＜０｛，ａ＞０为参数．我们用变分法结合上、下解方法，给出了一个关于上述方程解的存在性及多解性结果．更多还原

【Abstract】 The following elliptic equation is studied:-Δu=u qh(u-a),x∈Ω u>0, x∈Ω u=0, x∈ΩWhere ΩR N is a bounded domain, 0<q<1, h(t)=1,t≥0 0,t<0,a>0 is a parameter. By employing the variational method and sub sup solution method, a result is given concerining the structure of solutions (which vary with parameter a) to the above equation.更多还原