On $\Gamma$-convergence for problems of jumping type
Electronic Journal of Differential Equations, Tome 2003 (2003).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 $(f_h)$.
Classification : 49J45, 58E05
Keywords: gamma-convergence, jumping problems, nonsmooth critical point theory
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     author = {Groli, Alessandro},
     title = {On $\Gamma$-convergence for problems of jumping type},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2003},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a35/}
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Groli, Alessandro. On $\Gamma$-convergence for problems of jumping type. Electronic Journal of Differential Equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a35/