We study the minimizers of J(u), the p-norm of u' divided by the q-norm of u, among periodic functions with mean value 0. Here p,q are integers bigger than 1. We extend a result obtained by Dacorogna, Gangbo and Subia.
A symmetry problem related to Wirtinger's and Poincaré's inequality / Belloni, Marino; Kawohl, B.. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 156:1(1999), pp. 211-218. [10.1006/jdeq.1998.3603]
A symmetry problem related to Wirtinger's and Poincaré's inequality
BELLONI, Marino;
1999-01-01
Abstract
We study the minimizers of J(u), the p-norm of u' divided by the q-norm of u, among periodic functions with mean value 0. Here p,q are integers bigger than 1. We extend a result obtained by Dacorogna, Gangbo and Subia.File in questo prodotto:
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