General uniqueness results for large solutions
López Gómez, Julián, Maire Martín, Luis, Лаурент Верон · Hispana · 2020
We give a series of very general sufficient conditions in order to ensure the uniqueness of positive large solutions for - Δ u+ f(x, u) = 0 in a bounded domain Ω where f: Ω ¯ × R↦ R+ is a continuous function, such that f(x, 0) = 0 for x∈ Ω ¯ , and f(x, r) > 0 for x in a neighborhood of ∂Ω and all r> 0.