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Scuola Normale Superiore -Pisa May 1987 Regularity for minimizers of non-quadratic functionals.
 

Summary: Scuola Normale Superiore - Pisa May 1987
Regularity for minimizers of non-quadratic functionals.
The case 1 < p < 2.
E. Acerbi & N. Fusco
Introduction
Let f be a function defined on Rn
×RN
×RnN
, and set
I(u, A) =
A
f x, u(x), Du(x) dx :
we say that u is a local minimizer for I if
I(u, spt ) I(u + , spt ) for all C1
0 (Rn
; RN
).
In a fundamental paper, appeared in 1977, K. Uhlenbeck [10] proved everywhere C1,
regularity for
local minimizers u W1,p

  

Source: Acerbi, Emilio - Dipartimento di Matematica, Universitą degli Studi di Parma
Fusco, Nicola - Dipartimento di Matematica e Applicazioni, Universitą degli Studi di Napoli "Federico II"

 

Collections: Mathematics