【摘要】 设β≥0是常数,f:RN×R+×RN→RN是一个连续函数．本文研究形如△u+f(x,u,▽u)u-β=0,x∈RN(N≥3)的奇异拟线性椭圆方程的正整体解,给出了该类方程具有界的正整体解的若干充分条件．更多还原

【Abstract】 Supposeβ≥0 are constant,f: RN×R+×RN→R is a continuous function. This paper investigates N-dimensional singular, quasilinear elliptic equations of the form△u=f(x,u,▽u)u-β, x∈RN and gives some sufficient conditions such that the equations have infinitely many entire solutions each of which is bounded and positive.更多还原