Dipartimento di Matematica “G. Castelnuovo”, Università di Roma I, P.le A. Moro 2, 00185 Roma, Italy

摘要

Suppose that β≥0 is a constant and that f:R~N×_十R~N→R is a continuous function with R+:=(0,∞). This paper investigates N-dimensional singular, quasilinear elliptic equations of the form Δμ+f(χ,μ,▽μ)μ~(-β)=0,χ∈R~N(N≥3)and gives some sufficient conditions for the equations to have (i) a decaying positive entire solution or (ii) infinitely many positive entire solutions each of which is bounded with a positive lower-bound