Lower Semicontinuity of Functionals via the Concentration-Compactness Principle

Author: Montefusco E.

Source: Journal of Mathematical Analysis and Applications, Volume 263, Number 1, November 2001 , pp. 264-276(13)

Publisher: Academic Press

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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. Copyright 2001 Academic Press.

Keywords: lower semicontinuity; concentration; compactness principle

Language: English

Document Type: Research article

Affiliations: Dipartimento di Matematica, Università degli Studi di Roma “La Sapienza”, Piazzale A. Moro 5, Rome, 00185, Italy:

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