Superlinear problems

Martin Schechter and Wenming Zou

Vol. 214 (2004), No. 1, 145–160

DOI: 10.2140/pjm.2004.214.145

Abstract

We solve elliptic semilinear boundary value problems in which the nonlinear term is superlinear. By weakening the hypotheses, we are able to include more equations than hitherto permitted. In particular, we do not require the superquadracity condition imposed by most authors, and it is not assumed that the region is bounded.

Milestones

Received: 10 November 2002

Published: 1 March 2004