Sandwich pairs in critical point theory
Author:
Martin Schechter
Journal:
Trans. Amer. Math. Soc. 360 (2008), 2811-2823
MSC (2000):
Primary 35J65, 58E05, 49J35
DOI:
https://doi.org/10.1090/S0002-9947-08-04470-X
Published electronically:
January 25, 2008
MathSciNet review:
2379776
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: Since the development of the calculus of variations there has been interest in finding critical points of functionals. This was intensified by the fact that for many equations arising in practice the solutions are critical points of functionals. If a functional is semibounded, one can find a Palais-Smale (PS) sequence




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Additional Information
Martin Schechter
Affiliation:
Department of Mathematics, University of California, Irvine, California 92697-3875
Email:
mschecht@math.uci.edu
DOI:
https://doi.org/10.1090/S0002-9947-08-04470-X
Keywords:
Critical point theory,
variational methods,
saddle point theory,
semilinear differential equations.
Received by editor(s):
August 14, 2005
Published electronically:
January 25, 2008
Article copyright:
© Copyright 2008
American Mathematical Society