A regularity theory for scalar local minimizers of splitting-type variational integrals
نویسندگان
چکیده
منابع مشابه
A Regularity Theory for Scalar Local Minimizers of Splitting-Type Variational Integrals
Starting from Giaquinta’s counterexample [Gi] we introduce the class of splitting functionals being of (p, q)-growth with exponents p ≤ q < ∞ and show for the scalar case that locally bounded local minimizers are of class C. Note that to our knowledge the only C-results without imposing a relation between p and q concern the case of two independent variables as it is outlined in Marcellini’s pa...
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ژورنال
عنوان ژورنال: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
سال: 2009
ISSN: 2036-2145,0391-173X
DOI: 10.2422/2036-2145.2007.3.02