Existence for quasilinear elliptic systems with quadratic growth having a particular structure.
Mokrane, A. (1998)
Portugaliae Mathematica
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Mokrane, A. (1998)
Portugaliae Mathematica
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Elvira Mascolo, Anna Paola Migliorini (2003)
ESAIM: Control, Optimisation and Calculus of Variations
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We prove Lipschitz continuity for local minimizers of integral functionals of the Calculus of Variations in the vectorial case, where the energy density depends explicitly on the space variables and has general growth with respect to the gradient. One of the models is with a convex function with general growth (also exponential behaviour is allowed).
Tilak Bhattacharya, Francesco Leonetti (1993)
Commentationes Mathematicae Universitatis Carolinae
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We prove higher integrability for minimizers of some integrals of the calculus of variations; such an improved integrability allows us to get existence of weak second derivatives.
Lieberman, Gary M. (2007)
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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