Title: Local solutions for elliptic problems with exponential nonlinearities via finite dimensional reduction
Authors: Massimo Grossi and S. Prashanth
Issue: Volume 54 (2005), Issue 2, 383-417
Abstract:
![In this paper we prove some existence and multiplicity results for solutions of the problem \[ -\Delta u=e^u+\ve f(x,u)\quad\mbox{in }\mathbb{R}^2. \] These results are related to Nirenberg's problem and the existence of standing wave solutions for the nonlinear Schr\"odinger equation.](https://iumj.s3-us-west-2.amazonaws.com/abstracts/2517.png)
Title: Local solutions for elliptic problems with exponential nonlinearities via finite dimensional reduction
Authors: Massimo Grossi and S. Prashanth
Issue: Volume 54 (2005), Issue 2, 383-417
Abstract: