Regularity of minima of variational integrals
Josef Daněček, Eugen Viszus (1999)
Mathematica Slovaca
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Josef Daněček, Eugen Viszus (1999)
Mathematica Slovaca
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Martin Fuchs (1992)
Commentationes Mathematicae Universitatis Carolinae
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We prove the existence of a partially regular solution for a system of degenerate variational inequalities with natural growth.
Meng, Junxia, Chu, Yuming (2006)
Boundary Value Problems [electronic only]
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Mikil Foss, Giuseppe Mingione (2008)
Annales de l'I.H.P. Analyse non linéaire
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Alessandra Coscia, Domenico Mucci (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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We study the integral representation properties of limits of sequences of integral functionals like under nonstandard growth conditions of -type: namely, we assume that Under weak assumptions on the continuous function , we prove -convergence to integral functionals of the same type. We also analyse the case of integrands depending explicitly on ; finally we weaken the assumption allowing to be discontinuous on nice sets.