Vol. 214, No. 1, 2004

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Martin Schechter & Wenming Zou

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.

Authors
Martin Schechter
Department of Mathematics
University of California
Irvine, CA 92697-3875
Wenming Zou
Department of Mathematical Sciences
Tsinghua University
Beijing 100084
P.R. China