Unbounded supersolutions of nonlinear equations with nonstandard growth.
Harjulehto, Petteri, Kinnunen, Juha, Lukkari, Teemu (2007)
Boundary Value Problems [electronic only]
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Harjulehto, Petteri, Kinnunen, Juha, Lukkari, Teemu (2007)
Boundary Value Problems [electronic only]
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Michela Eleuteri (2007)
Applications of Mathematics
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We prove some optimal regularity results for minimizers of the integral functional belonging to the class , where is a fixed function, under standard growth conditions of -type, i.e.
Giovanna Idone (2004)
Czechoslovak Mathematical Journal
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Regularity results for elliptic systems of second order quasilinear PDEs with nonlinear growth of order are proved, extending results of [7] and [10]. In particular Hölder regularity of the solutions is obtained if the dimension is less than or equal to .
Mamadou Sango (2003)
Annales de l'I.H.P. Analyse non linéaire
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Martin Fuchs (1992)
Commentationes Mathematicae Universitatis Carolinae
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We extend a regularity theorem of Hildebrandt and Widman [3] to certain degenerate systems of variational inequalities and prove Hölder-continuity of solutions which are in some sense stationary.