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.References
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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