On certain quasilinear elliptic equations with indefinite terms

Abstract

In this paper, we consider the existence of positive solutions of the fol-lowing problem: $(¥ ovalbox {¥ tt¥ small REJECT} _ {p}) $$¥ left¥{¥ begin {array}{l}-¥ Delta_ {p} um (x) g (u)-¥¥ u= 0¥ end {array}¥ right. $$¥ mathrm {i}¥ mathrm {o}¥ mathrm {n}¥ partial¥ Omega¥ mathrm {n}¥ Omega$