In this paper we show the weak lower semicontinuity of some classes of functionals, using the concentration-compactness principle of P. L. Lions. These functionals involve an integral term, and we do not know whether it can be handled by the De Giorgi theorem. The semicontinuity result allows us to prove several existence results for quasilinear elliptic equations.
Lower semicontinuity of functionals via concentration-compactness principle / Montefusco, Eugenio. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 263:(2001), pp. 264-276. [10.1006/jmaa.2001.7631]
Lower semicontinuity of functionals via concentration-compactness principle
MONTEFUSCO, Eugenio
2001
Abstract
In this paper we show the weak lower semicontinuity of some classes of functionals, using the concentration-compactness principle of P. L. Lions. These functionals involve an integral term, and we do not know whether it can be handled by the De Giorgi theorem. The semicontinuity result allows us to prove several existence results for quasilinear elliptic equations.File allegati a questo prodotto
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