0000000000077570
AUTHOR
Anna Tuhola-kujanpää
Superharmonic functions are locally renormalized solutions
Abstract 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.
The p-Laplacian with respect to measures
We introduce a definition for the $p$-Laplace operator on positive and finite Borel measures that satisfy an Adams-type embedding condition.