Large Solutions for a System of Elliptic Equations Arising from Fluid Dynamics
Large Solutions for a System of Elliptic Equations Arising from Fluid Dynamics
This paper is concerned with the elliptic system (0.1) \Delta v = \phi, \qquad \Delta \phi = |\nabla v|^2 posed in a bounded domain $\Omega \subset {{\mathbb R}^N}\!$, $N \in {\mathbb N}$. Specifically, we are interested in the existence and uniqueness or multiplicity of "large solutions," that is, classical solutions …