For some nonlinear elliptic equations in divergence form, we consider the solutions, defined in the exterior of a contractible bounded domain , which become infinite at the boundary. We prove the existence of such solutions and study the shape of their level sets when is star-shaped.
Cite this article
E. Francini, Antonio Greco, Blow-Up in Exterior Domains: Existence and Star-Shapedness. Z. Anal. Anwend. 17 (1998), no. 2, pp. 431–441