Special Session 56: 

Multiple solutions for subcritical problems `a la` Trudinger-Moser in exterior domains of $\mathbb{R}^2$

David Costa
University of Nevada Las Vegas
USA
Co-Author(s):    H. Tehrani
Abstract:
\begin{document} \begin{abstract} We consider subcritical situations `a la` Trudinger-Moser for problems of the form $$ -\Delta u=a(x) f(u)\ \mbox{ in }\Omega,\quad u=0\ \mbox{ on }\partial\Omega=\partial B(0,1), $$ in the exterior of the unit ball in $\mathbb{R^}2$. Here the nonnegative coefficient $a(x)$ satisfies a natural integrability condition and we show existence of extremal {\it constant-sign solutions} as well as {\it sign-changing solutions} for such problems. This is joint work with H. Tehrani at the University of Nevada Las Vegas. \end{abstract} \end{document}