Uniqueness of the blow-up boundary solution of logistic equations with absorbtion

Let Ω be a smooth bounded domain in ℝ N . Assume f ∈ C 1 [0,∞) is a non-negative function such that f ( u )/ u is increasing on (0,∞). Let a be a real number and let b ⩾0, b / ≡ 0 be a continuous function such that b ≡0 on ∂ Ω . We study the logistic equation Δu + au = b ( x ) f ( u ) in Ω . The spe... View More