Regularity results of solutions of problems having nonstandard growth and nonuniform ellipticity
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Christopher Goodrich
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UNSW Sydney, Sch Math & Stat, Sydney, NSW
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Australia
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Maria Alessandra Ragusa
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University of Catania
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Italy
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Andrea Scapellato
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University of Catania
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Italy
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Introduction:
| | In continuation with the session of the previous edition, AIMS WILMINGTON 2023, 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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