Regularity Results for a Class of Functionals with Non-Standard Growth
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We consider the integral functional
under non-standard growth assumptions that we call p(x) type: namely, we assume that
a relevant model case being the functional
Under sharp assumptions on the continuous function p(x)>1 we prove regularity of minimizers. Energies exhibiting this growth appear in several models from mathematical physics.
KeywordsContinuous Function Mathematical Physic Model Case Relevant Model Regularity Result
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© Springer-Verlag Berlin Heidelberg 2001