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Continuity Properties of Minimizers of Integral Functionals in a Limit Case

✍ Scribed by Vincenzo Ferone; Nicola Fusco


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
241 KB
Volume
202
Category
Article
ISSN
0022-247X

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✦ Synopsis


We prove continuity of minimizers of integral functionals of the form w Ž .

x Ž . < < p H f x, u, Du q hDu , where the integrand f x,, grows like , with ⍀ 0 0 p ) 1, and h is in a suitable Lorentz space. Continuity of solutions of nonlinear Ž . Ž . equations of the form div A x, u, Du s div h is also proved, where A x, , < < py1 grows like .


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