On gamma-convergence for problems of jumping type
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 $alpha,eta$ plays a fundamental role. We prove...
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Texas State University
2003-05-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2003/60/abstr.html |
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doaj-a2a45fc71c964c1b95e1d24fbf0ccd2a2020-11-24T21:03:57ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912003-05-01200360116On gamma-convergence for problems of jumping typeAlessandro GroliThe 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 $alpha,eta$ plays a fundamental role. We prove the existence of at least three critical values for $f_h$, when $alpha$ and $eta$ satisfy the usual assumption with respect to $f_infty$, but not with respect to $f_h$. http://ejde.math.txstate.edu/Volumes/2003/60/abstr.html$Gamma$-convergencejumping problemsnonsmooth critical point theory. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Alessandro Groli |
| spellingShingle |
Alessandro Groli On gamma-convergence for problems of jumping type Electronic Journal of Differential Equations $Gamma$-convergence jumping problems nonsmooth critical point theory. |
| author_facet |
Alessandro Groli |
| author_sort |
Alessandro Groli |
| title |
On gamma-convergence for problems of jumping type |
| title_short |
On gamma-convergence for problems of jumping type |
| title_full |
On gamma-convergence for problems of jumping type |
| title_fullStr |
On gamma-convergence for problems of jumping type |
| title_full_unstemmed |
On gamma-convergence for problems of jumping type |
| title_sort |
on gamma-convergence for problems of jumping type |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2003-05-01 |
| description |
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 $alpha,eta$ plays a fundamental role. We prove the existence of at least three critical values for $f_h$, when $alpha$ and $eta$ satisfy the usual assumption with respect to $f_infty$, but not with respect to $f_h$. |
| topic |
$Gamma$-convergence jumping problems nonsmooth critical point theory. |
| url |
http://ejde.math.txstate.edu/Volumes/2003/60/abstr.html |
| work_keys_str_mv |
AT alessandrogroli ongammaconvergenceforproblemsofjumpingtype |
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