A positive solution for a nonlinear Schroedinger equation on $R^N$ Louis JeanjeanKazunaga Tanaka 35J6058E05nonlinear elliptic equationsvariational methodsbounded PS sequences We prove the existence of a positive solution for a class of equations of the form $-\Delta u + V(x)u = f(u)$, $u \in H^1(\mathbb{R}^N)$. On the nonlinearity $f$, only conditions around $0$ and at $\infty$ are required. Indiana University Mathematics Journal 2005 text pdf 10.1512/iumj.2005.54.2502 10.1512/iumj.2005.54.2502 en Indiana Univ. Math. J. 54 (2005) 443 - 464 state-of-the-art mathematics http://iumj.org/access/