Anisotropic singularities of solutions of nonlinear elliptic equations in \({\mathbb{R}}^ 2\) (Q1263001)

The authors consider the equation \((1)\quad \Delta u=| u|^{q- 1}u,\) \((q>1)\) in \(\Omega \subset {\mathbb{R}}^ 2\). The main subject of this paper is to classify all possible isolated singularities of solutions of (1). They use an infinite-dimensional dynamical systems theory to prove the existence of various different types of global singular solutions.