Superharmonic functions are locally renormalized solutions

Kilpeläinen, Tero ; Kuusi, Tuomo ; Tuhola-Kujanpää, Anna

Annales de l'I.H.P. Analyse non linéaire, Tome 28 (2011), p. 775-795 / Harvested from Numdam

Résumé

We show that different notions of solutions to measure data problems involving p-Laplace type operators and nonnegative source measures are locally essentially equivalent. As an application we characterize singular solutions of multidimensional Riccati type partial differential equations.

Détail

Publié le : 2011-01-01

MR 2859927 | Zbl 1234.35121

DOI : https://doi.org/10.1016/j.anihpc.2011.03.004
Classification:  35J92,  35A01

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