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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Asymptotic behaviour of ground states
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by Josephus Hulshof and Robertus C. A. M. van der Vorst
Proc. Amer. Math. Soc. 124 (1996), 2423-2431
DOI: https://doi.org/10.1090/S0002-9939-96-03669-6

Abstract:

We derive the asymptotic behaviour of the ground states of a system of two coupled semilinear Poisson equations with a strongly indefinite variational structure in the critical Sobolev growth case.
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Bibliographic Information
  • Josephus Hulshof
  • Affiliation: Mathematical Department of the Leiden University, Niels Bohrweg 1 2333 CA Leiden, The Netherlands
  • Email: hulshof@wi.leidenuniv.nl
  • Robertus C. A. M. van der Vorst
  • Affiliation: Center for Dynamical Systems and Nonlinear Studies, Georgia Institute of Technology, Atlanta, Georgia 30308-0190
  • Email: rvander@math.gatech.edu
  • Received by editor(s): February 16, 1995
  • Additional Notes: We gratefully acknowledge the support by N.W.O., the Dutch Organisation for Scientific Research, and Enzo Mitidieri for his encouragement.
  • Communicated by: Jeffrey Rauch
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 2423-2431
  • MSC (1991): Primary 35J55; Secondary 34C37
  • DOI: https://doi.org/10.1090/S0002-9939-96-03669-6
  • MathSciNet review: 1363170