Nonnegative solutions of periodic parabolic problems in the presence of non-well-ordered sub and supersolutions

GODOY, TOMÁS; KAUFMANN, URIEL; PACZKA, SOFÍA

HOUSTON JOURNAL OF MATHEMATICS

UNIV HOUSTON

Año: 2011 vol. 37 p. 939 - 954

0362-1588

Let Ω⊂R^{N} be a smooth bounded domain and let a,b,c be three (possibly discontinuous and unbounded) T-periodic functions with c≥0. We study existence and nonexistence of positive solutions for periodic parabolic problems Lu=λ(a(x,t)u^{p}-b(x,t)u^{q}+c(x,t)) in Ω×R with Dirichlet boundary condition, where λ>0 is a real parameter and p>q≥1. If a and b satisfy some additional conditions and p