scholarly journals Vector-Valued Local Minimizers of Nonconvex Variational Problems

1991 ◽  
Vol 21 (2) ◽  
pp. 799-807 ◽  
Author(s):  
Peter Sternberg
Author(s):  
Cristiana De Filippis ◽  
Giuseppe Mingione

AbstractWe provide a general approach to Lipschitz regularity of solutions for a large class of vector-valued, nonautonomous variational problems exhibiting nonuniform ellipticity. The functionals considered here range from those with unbalanced polynomial growth conditions to those with fast, exponential type growth. The results obtained are sharp with respect to all the data considered and also yield new, optimal regularity criteria in the classical uniformly elliptic case. We give a classification of different types of nonuniform ellipticity, accordingly identifying suitable conditions to get regularity theorems.


1990 ◽  
Vol 14 (11) ◽  
pp. 905-914 ◽  
Author(s):  
Ioan R. Ionescu ◽  
Ioan Rosca

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