On the interior regularity of weak solutions of degenerate elliptic systems (the case $1$ &lt; $p$ &lt; $2$)

J. Naumann; J. Wolf

Displaying similar documents to “On the interior regularity of weak solutions of degenerate elliptic systems (the case $1$ < $p$ < $2$ )”

Some remarks on the regularity of weak solutions of degenerate elliptic systems.

Luca Esposito, Giuseppe Mingione (1998)

Revista Matemática Complutense

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On the interior differentiability of weak solutions of parabolic systems with quadratic growth nonlinearities

J. Naumann (1990)

Rendiconti del Seminario Matematico della Università di Padova

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On the Hölder continuity of weak solutions of quasilinear elliptic systems of second order

Stefan Hildebrandt, Kjell-Ove Widman (1977)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Wiener criterion for degenerate elliptic obstacle problem

Marco Biroli, Umberto Mosco (1989)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We give a Wiener criterion for the continuity of an obstacle problem relative to an elliptic degenerate problem with a weight in the $A_{2}$ class.

Interior differentiability of weak solutions to parabolic systems with quadratic growth nonlinearities

J. Naumann, J. Wolf (1997)

Rendiconti del Seminario Matematico della Università di Padova

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Everywhere regularity for a class of elliptic systems without growth conditions

Paolo Marcellini (1996)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Functionals with $p (x)$ growth and regularity

Emilio Acerbi, Giuseppe Mingione (2000)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We consider the integral functional $\int f (x, D u) d x$ under non standard growth assumptions of $(p, q)$ -type: namely, we assume that ${|z|}^{p (x)} \leq f (x, z) \leq L (1 + {|z|}^{p (x)})$ , a relevant model case being the functional $\int {|D u|}^{p (x)} d x$ . Under sharp assumptions on the continuous function $p (x) > 1$ we prove regularity of minimizers both in the scalar and in the vectorial case, in which we allow for quasiconvex energy densities. Energies exhibiting this growth appear in several models from mathematical physics.

Displaying similar documents to “On the interior regularity of weak solutions of degenerate elliptic systems (the case 1 &lt; p &lt; 2 )”

Some remarks on the regularity of weak solutions of degenerate elliptic systems.

On the interior differentiability of weak solutions of parabolic systems with quadratic growth nonlinearities

On the Hölder continuity of weak solutions of quasilinear elliptic systems of second order

Wiener criterion for degenerate elliptic obstacle problem

Interior differentiability of weak solutions to parabolic systems with quadratic growth nonlinearities

Everywhere regularity for a class of elliptic systems without growth conditions

Functionals with p ⁢ x growth and regularity

Displaying similar documents to “On the interior regularity of weak solutions of degenerate elliptic systems (the case $1$ < $p$ < $2$ )”

Functionals with $p (x)$ growth and regularity