Geodesic
On \(\Gamma\)-convergence for problems of jumping type
Electronic journal of differential equations, Tome 2003 (2003)
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 
@article{EJDE_2003__2003__a35,
     author = {Groli,  Alessandro},
     title = {On {\(\Gamma\)-convergence} for problems of jumping type},
     journal = {Electronic journal of differential equations},
     year = {2003},
     volume = {2003},
     zbl = {1038.49023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a35/}
}
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JO  - Electronic journal of differential equations
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%A Groli,  Alessandro
%T On \(\Gamma\)-convergence for problems of jumping type
%J Electronic journal of differential equations
%D 2003
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%F EJDE_2003__2003__a35
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/