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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A degree theory framework for semilinear elliptic systems
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by Congming Li and John Villavert PDF
Proc. Amer. Math. Soc. 144 (2016), 3731-3740 Request permission

Abstract:

This paper establishes the existence of positive entire solutions to some systems of semilinear elliptic systems including those related to the Lane-Emden and stationary Schrödinger systems. The primary technique for generating these results employs a degree theoretic approach for the classical shooting method.
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Additional Information
  • Congming Li
  • Affiliation: Department of Applied Mathematics, University of Colorado at Boulder, Boulder, Colorado 80309
  • MR Author ID: 259914
  • Email: congming.li@colorado.edu
  • John Villavert
  • Affiliation: School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley, Edinburg, Texas 78539
  • Email: john.villavert@utrgv.edu, john.villavert@gmail.com
  • Received by editor(s): September 11, 2015
  • Published electronically: April 28, 2016
  • Additional Notes: The first author is partially supported by NSF DMS-1405175 and NSFC-11571233
  • Communicated by: Catherine Sulem
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 3731-3740
  • MSC (2010): Primary 35B08, 35B09, 35J47, 35J61
  • DOI: https://doi.org/10.1090/proc/13166
  • MathSciNet review: 3513534