# Existence Results for the Equation $– \Delta u = f(x, u) in \mathbb R^n$

### Salvatore A. Marano

Università degli Studi di Catania, Italy

## Abstract

Strong solutions to the class of semilinear elliptic equations $– \Delta u = f(x, u) on the entire space and with possibly supercritical growth for$ f(x, \cdot)$ are obtained by mainly using fixed points arguments. The case of discontinuous non-linearities is then examined.

## Cite this article

Salvatore A. Marano, Existence Results for the Equation $– \Delta u = f(x, u) in \mathbb R^n$. Z. Anal. Anwend. 19 (2000), no. 2, pp. 575–582

DOI 10.4171/ZAA/969