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Solutions of nonlinear elliptic equations in unbounded Lipschitz domains

  • Pablo Amster EMAIL logo , María-Cristina Mariani and Osvaldo Méndez
Published/Copyright: February 21, 2007
Forum Mathematicum
From the journal Volume 19 Issue 1

Abstract

This work is devoted to the study of the elliptic equation Δu = f(x, u) in an exterior non-smooth domain. Applying the method of upper and lower solutions and a diagonal argument, we prove the existence of solutions under various boundary conditions.


(Communicated by Héctor J. Sussmann)


Received: 2004-09
Published Online: 2007-02-21
Published in Print: 2007-01-29

© Walter de Gruyter

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