Existence and uniqueness results for large solutions of general nonlinear elliptic equations
Moshe Marcus, Лаурент Верон · Birkhäuser Basel eBooks · 2004
We study under what condition there exists a solution of —Δu +f (u) =0 in a domain Ω which blows-up on the boundary, independently of the regularity of the boundary, and we provide criteria for uniqueness. We apply our results to the case f(u) = e au .