Regularity of minimizers of W1,p
-quasiconvex variational integrals with (p,q)-growth |
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Authors: | Thomas Schmidt |
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Institution: | 1. Mathematisches Institut, Heinrich-Heine-Universit?t Düsseldorf, Universit?tsstr.1, 40225, Düsseldorf, Germany
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Abstract: | We consider autonomous integrals
in the multidimensional calculus of variations, where the integrand f is a strictly W
1,p
-quasiconvex C
2-function satisfying the (p,q)-growth conditions
with exponents 1 < p ≤ q < ∞. Under these assumptions we establish an existence result for minimizers of F in provided . We prove a corresponding partial C
1,α
-regularity theorem for . This is the first regularity result for autonomous quasiconvex integrals with (p,q)-growth. |
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Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 49N60 49J45 35J50 |
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