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Action functionals that attain regular minima in presence of energy gaps
2007
Discrete and Continuous Dynamical Systems. Series A
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We present three simple regular one-dimensional variational problems that present the Lavrentiev gap phenomenon, i.e. * (0, 1) is not attained. Further examples verifying this phenomenon have been given by several authors: see [4], [10] and references therein. 2000 Mathematics Subject Classification. Primary: 49J30; secondary: 49J45, 49N60.
doi:10.3934/dcds.2007.19.675
fatcat:clwli5p55vb5dduxpxlpj3oita