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On Some Results of Moser and of Bangert, II

Paul H. Rabinowitz and Ed Stredulinsky


Existence is proved for heteroclinic solutions of a family of semilinear elliptic PDE’s on ℝn treated earlier by Bangert [2]. A variational framework for finding solutions of this problem is presented. It will be used in a sequel to construct more complicated homoclinic and heteroclinic solutions of the equation.

Received: 2003-12-10
Published Online: 2016-3-10
Published in Print: 2004-11-1

© 2016 by Advanced Nonlinear Studies, Inc.