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.
Ferrero, A., Gazzola, F., & Weth, T. (2007). Positivity, symmetry and uniqueness for minimizers of second-order Sobolev inequalities. ANNALI DI MATEMATICA PURA ED APPLICATA, 186(4), 565-578 [10.1007/s10231-006-0019-9].
Positivity, symmetry and uniqueness for minimizers of second-order Sobolev inequalities
FERRERO, ALBERTO;
2007
Abstract
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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
