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) no. 6, pp. 775-795.

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.

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