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

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.

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 f x , D u d x under non standard growth assumptions of p , q -type: namely, we assume that z p x f x , z L 1 + z p x , a relevant model case being the functional 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.