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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Infinitely many nonradial solutions to a superlinear Dirichlet problem
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by Hugo Aduén and Alfonso Castro PDF
Proc. Amer. Math. Soc. 131 (2003), 835-843 Request permission

Abstract:

In this article we provide sufficient conditions for a superlinear Dirichlet problem to have infinitely many nonradial solutions. Our hypotheses do not require the nonlinearity to be an odd function. For the sake of simplicity in the calculations we carry out details of proofs in a ball. However, the proofs go through for any annulus.
References
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Additional Information
  • Hugo Aduén
  • Affiliation: Departamento de Matemáticas, Universidad de Córdoba, Montería, Colombia
  • Email: haduen@hotmail.com
  • Alfonso Castro
  • Affiliation: Division of Mathematics and Statistics, The University of Texas at San Antonio, San Antonio, Texas 78249
  • Email: acastro@utsa.edu
  • Received by editor(s): March 8, 2001
  • Received by editor(s) in revised form: October 15, 2001
  • Published electronically: September 17, 2002
  • Communicated by: David S. Tartakoff
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 835-843
  • MSC (2000): Primary 35J20; Secondary 34B15
  • DOI: https://doi.org/10.1090/S0002-9939-02-06642-X
  • MathSciNet review: 1937421