Dead Cores and Bursts for Quasilinear Singular Elliptic Equations

We consider divergence structure quasilinear singular elliptic partial differential equations on domains of Rn and show that there exist solutions with dead cores and, furthermore, solutions which involve both a dead core and bursts within the core. The results are obtained under appropriate monoton...

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Veröffentlicht in:SIAM journal on mathematical analysis 2006-01, Vol.38 (1), p.259-278
Hauptverfasser: Pucci, Patrizia, Serrin, James
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
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