Let us consider a Dirichlet integral of the type F(u) = Z f(Du) dx where u is a nonnegative Sobolev function with compact support in . The well known P¶olya-SzegÄo principle states that if us denotes the Steiner symmetrand of u, then: F(us) · F(u): We study the case when the integrand f depends also on x and u.
Steiner symmetrization: a weighted version of Polya - Szego principle
ESPOSITO, Luca;
2007-01-01
Abstract
Let us consider a Dirichlet integral of the type F(u) = Z f(Du) dx where u is a nonnegative Sobolev function with compact support in . The well known P¶olya-SzegÄo principle states that if us denotes the Steiner symmetrand of u, then: F(us) · F(u): We study the case when the integrand f depends also on x and u.File in questo prodotto:
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