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Morrey regularity for almost minimizers of asymptotically convex functionals with nonstandard growth
-
Kyle Fey
and
Mikil Foss
Published/Copyright:
June 20, 2011
Abstract.
We prove some global Morrey regularity results for almost minimizers of functionals of the form
This regularity is valid up to the boundary, provided the boundary data is sufficiently regular. The main assumption on f is that for each 
and 
, the
function 
behaves asymptotically like 
, where h is an N-function with 
comparable to 
. We provide a couple of applications of this result: an application to a broad class of PDEs, and a result which, for a large class of functionals, provides a minimizing sequence with uniform regularity.
Keywords: Morrey regularity; asymptotic convexity; nonstandard growth; variable exponent; systems of partial differential equations; minimizing sequences
Received: 2010-09-06
Revised: 2011-04-21
Published Online: 2011-06-20
Published in Print: 2013-09-01
© 2013 by Walter de Gruyter Berlin Boston
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- Splitting-up scheme for nonlinear stochastic hyperbolic equations
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Keywords for this article
Morrey regularity;
asymptotic convexity;
nonstandard growth;
variable exponent;
systems of partial differential equations;
minimizing sequences
Articles in the same Issue
- Masthead
- Morrey regularity for almost minimizers of asymptotically convex functionals with nonstandard growth
- Splitting-up scheme for nonlinear stochastic hyperbolic equations
- Pcf and abelian groups
- Cropping Euler factors of modular L-functions
- Maslov index, lagrangians, mapping class groups and TQFT
- Erratum [0.1mm] Use of reproducing kernels and Berezin symbols technique in some questions of operator theory [Forum Math., DOI 10.1515/FORM.2011.073]
