The cases of equality are analyzed in Steiner symmetrization inequalities for Dirichlet-type integrals. In particular, minimal assumptions are determined under which functions attaining equality are necessarily Steiner symmetric.
Steiner symmetric extremals in Polya-Szego type inequalities / A. CIANCHI; N. FUSCO. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - STAMPA. - 203:(2006), pp. 673-728.
Steiner symmetric extremals in Polya-Szego type inequalities
CIANCHI, ANDREA;
2006
Abstract
The cases of equality are analyzed in Steiner symmetrization inequalities for Dirichlet-type integrals. In particular, minimal assumptions are determined under which functions attaining equality are necessarily Steiner symmetric.
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