Calculus of Variations and Geometric Measure Theory
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A. Ferrero - F. Gazzola - T. Weth

Positivity, symmetry and uniqueness for minimizers of second order Sobolev inequalities

created by gazzola on 16 Sep 2005
modified on 14 Dec 2005


Accepted Paper

Inserted: 16 sep 2005
Last Updated: 14 dec 2005

Journal: Ann. Mat. Pura Appl.
Year: 2005


We prove that minimizers for subcritical second order Sobolev embeddings in the unit ball are unique, positive and radially symmetric. Since the proofs of the corresponding first order results cannot be extended to the present situation we apply new and recently developed techniques.


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