A priori estimates for solutions to anisotropic elliptic problems via symmetrization

A priori estimates for solutions to anisotropic elliptic problems via symmetrization

We obtain a comparison result for solutions to nonlinear fully anisotropic elliptic problems by means of anisotropic symmetrization. As consequence we deduce a priori estimates for norms of the relevant solutions.

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Veröffentlicht in:Mathematische Nachrichten 2017-05, Vol.290 (7), p.986-1003
Hauptverfasser: Alberico, A., Blasio, G. di, Feo, F.
Format: Artikel
Sprache:eng
Schlagworte:
35B45
35B65
35J25
a priori estimates
Anisotropic symmetrization rearrangements
Anisotropy
Dirichlet problems
Norms
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Beschreibung
Zusammenfassung:We obtain a comparison result for solutions to nonlinear fully anisotropic elliptic problems by means of anisotropic symmetrization. As consequence we deduce a priori estimates for norms of the relevant solutions.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.201500282