Regularity results for solutions of nonlinear systems and applications
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Maria Alessandra RAGUSA
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University of CATANIA, ITALY
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Italy
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Christopher S. GOODRICH
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School of Mathematics and Statistics, Sydney, UNSW Australia,
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Australia
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Andrea SCAPELLATO
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University of CATANIA, ITALY
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Italy
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Abstract:
| | In continuation with the session of the previous edition, AIMS TAIPEI 2018, in the session the organizers focus the attention in the vaste problem of regularity for minimizers of quadratic and nonquadratic growth functionals where the integrand is dependent on x,u, Du.
Is pointed out that about the dependence on the variable x is assumed only that A(x ,u, p) is in the class VMO, Vanishing Mean Oscillation class, as a function of x. Namely, is not assumed the continuity of A(x, u, p) with respect to x. Are considered both partial and global regularity of the minimizer $u$ .
Keywords:: minimizer, partial and boundary regularity
MSC2010 Classification: 49N60, 35J50. |
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List of approved abstract |
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