Superharmonic functions are locally renormalized solutions
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.

DOI : https://doi.org/10.1016/j.anihpc.2011.03.004
Classification : 35J92,  35A01
@article{AIHPC_2011__28_6_775_0,
author = {Kilpel\"ainen, Tero and Kuusi, Tuomo and Tuhola-Kujanp\"a\"a, Anna},
title = {Superharmonic functions are locally renormalized solutions},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {775--795},
publisher = {Elsevier},
volume = {28},
number = {6},
year = {2011},
doi = {10.1016/j.anihpc.2011.03.004},
zbl = {1234.35121},
mrnumber = {2859927},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.anihpc.2011.03.004/}
}
Kilpeläinen, Tero; Kuusi, Tuomo; Tuhola-Kujanpää, Anna. Superharmonic functions are locally renormalized solutions. Annales de l'I.H.P. Analyse non linéaire, Tome 28 (2011) no. 6, pp. 775-795. doi : 10.1016/j.anihpc.2011.03.004. http://www.numdam.org/articles/10.1016/j.anihpc.2011.03.004/

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