Linear eigenvalues and a nonlinear boundary value problem

Edward Milton Landesman and Alan Cecil Lazer

Vol. 33 (1970), No. 2, 311–328

DOI: 10.2140/pjm.1970.33.311

Abstract

In this paper a nonlinear boundary value problem for elliptic partial differential equations is considered. The principal result generalizes a previous result on a two point boundary value problem for a nonlinear second order ordinary differential equation. The solvability condition obtained for the nonlinear problem is related to the eigenvalues of an associated linear problem.

Mathematical Subject Classification

Primary: 35.47

Milestones

Published: 1 May 1970