Existence, Asymptotic Behavior and Uniqueness for Large Solutions to Δu = e<sup>q(x)u</sup>
Existence, Asymptotic Behavior and Uniqueness for Large Solutions to Δu = e<sup>q(x)u</sup>
Abstract In this paper we consider existence, asymptotic behavior near the boundary and uniqueness for solutions to Δu = e q(x)u in a bounded smooth domain Ω with the boundary condition u(x) → + ∞ as dist(x, ∂Ω) → 0. The exponent q(x) is assumed to be a Hölder continuous …