ANTI-MAXIMUM PRINCIPLES FOR INDEFINITE-WEIGHT ELLIPTIC PROBLEMS
Yehuda Pinchover · Communications in Partial Differential Equations · 2001
Consider a second order, linear, elliptic operator P with real, Hölder continuous coefficients defined on a noncompact, d-dimensional Riemannian manifold Ω. Consider the generalized principal eigenvalue (without weight) λ0 = λ0(1, P,Ω): = sup{λ ∈ R: ∃u> 0 s.t. (P − λ)u ≥ 0 in Ω},