Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 60, pp. 1-16.

Title: On $\Gamma$-convergence for problems of jumping type

Author: Alessandro Groli (University of Brescia, Italy)

Abstract: 
 The convergence of critical values for a sequence of functionals
 $(f_h)$ $\Gamma$-converging to a functional  $f_{\infty}$ is studied.
 These functionals are related to a classical ``jumping problem'',
 in which the position of two real parameters $\alpha,\beta$ plays
 a fundamental role.
 We prove the existence of at least three critical values
 for $f_h$, when $\alpha$ and $\beta$ satisfy the usual assumption
 with respect to $f_\infty$, but not with respect to $f_h$.
 
Submitted February 19, 2003. Published May 23, 2003.
Math Subject Classifications: 49J45, 58E05.
Key Words: $\Gamma$-convergence; jumping problems; 
           nonsmooth critical point theory.