On the regularity of weak solutions to variational equations and inequalities for nonlinear second order elliptic systems

Nečas, J.

Displaying similar documents to “On the regularity of weak solutions to variational equations and inequalities for nonlinear second order elliptic systems”

Smoothness for systems of degenerate variational inequalities with natural growth

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.

A note on regularity for nonlinear elliptic systems

Josef Daněček, Eugen Viszus (2000)

Archivum Mathematicum

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The $L^{2, λ}$ - regularity of the gradient of weak solutions to nonlinear elliptic systems is proved.

Everywhere regularity for vectorial functionals with general growth

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 $F (u) = \int_{Ω} a (x) {[h (| D u |)]}^{p (x)} d x$ with $h$ a convex function with general growth (also exponential behaviour is allowed).

Interior regularity for the quasilinear elliptic systems with nonsmooth coefficients

Jiří Kottas (1987)

Commentationes Mathematicae Universitatis Carolinae

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