Isolated singularities of nonlinear elliptic inequalities. II. Asymptotic behavior of solutions Steven Taliaferro 35J60isolated singularityasymptotically radial We give conditions on a continuous function $f \colon (0,\infty) \to (0,\infty)$ which guarantee that every $C^{2}$ positive solution $u(x)$ of the differential inequalities \[ 0 \le -\Delta u \le f(u) \] in a punctured neighborhood of the origin in $\mathbb{R}^n$ ($n \ge 2$) is asymptotically radial (or asymptotically harmonic) as $|x| \to 0^{+}$. Indiana University Mathematics Journal 2006 text pdf 10.1512/iumj.2006.55.2848 10.1512/iumj.2006.55.2848 en Indiana Univ. Math. J. 55 (2006) 1791 - 1812 state-of-the-art mathematics http://iumj.org/access/