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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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Quasilinearity below the 1st eigenvalue
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by Victor L. Shapiro PDF
Proc. Amer. Math. Soc. 129 (2001), 1955-1962 Request permission

Abstract:

This paper establishes the existence of two nontrivial weak solutions for a quasilinear Dirichlet problem below the first eigenvalue via the mountain pass theorem.
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Additional Information
  • Victor L. Shapiro
  • Affiliation: Department of Mathematics, University of California, Riverside, California 92521-0135
  • Email: shapiro@math.ucr.edu
  • Received by editor(s): September 7, 1999
  • Published electronically: February 15, 2001
  • Communicated by: David S. Tartakoff
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 1955-1962
  • MSC (2000): Primary 35J60; Secondary 35J35
  • DOI: https://doi.org/10.1090/S0002-9939-01-06124-X
  • MathSciNet review: 1825902