Superharmonic functions are locally renormalized solutions

Tero Kilpeläinen, Tuomo Kuusi, Anna Tuhola-Kujanpää · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 2011

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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