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A Modification of the Blowup Technique for Variational Integrals with Subquadratic Growth

✍ Scribed by Martin Fuchs; Jürgen Reuling


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
231 KB
Volume
210
Category
Article
ISSN
0022-247X

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✦ Synopsis


We present a version of the blowup technique which applies to local minimizers

where f is of p-growth for some 1p -2. This provides an alterna-⍀ tive approach towards the partial regularity theorem of Anzellotti and Giaquinta. For two-dimensional problems we obtain everywhere C 1, ␣ -regularity.