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Necessary conditions for weak lower semicontinuityon domains with infinite measure
Published online by Cambridge University Press: 21 April 2009
Abstract
We derive sharp necessary conditions for weak sequential lower semicontinuity of integral functionals on Sobolev spaces, with an integrand which only depends on the gradient of a scalar field over a domain in ${\mathbb R}^N$ . An emphasis is put on domains with infinite measure, and the integrand is allowed to assume the value $+\infty$ .
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 16 , Issue 2 , April 2010 , pp. 457 - 471
- Copyright
- © EDP Sciences, SMAI, 2009
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