The convergence of critical values for a sequence of functionals -converging to a functional is studied. These functionals are related to a classical "jumping problem", in which the position of two real parameters , plays a fundamental role. We prove the existence of at least three critical values for , when and satisfy the usual assumption with respect to , but not with respect to .
Submitted February 19, 2003. Published May 23, 2003.
Math Subject Classifications: 49J45, 58E05.
Key Words: Gamma-convergence, jumping problems, nonsmooth critical point theory.
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|Alessandro Groli |
Department of Mathematics
University of Brescia
Via Valotti 9, 25133 Brescia, Italy
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