Superharmonic functions are locally renormalized solutions
Annales de l'I.H.P. Analyse non linéaire, Tome 28 (2011) no. 6, pp. 775-795
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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.
@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},
mrnumber = {2859927},
zbl = {1234.35121},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2011.03.004/}
}
TY - JOUR AU - Kilpeläinen, Tero AU - Kuusi, Tuomo AU - Tuhola-Kujanpää, Anna TI - Superharmonic functions are locally renormalized solutions JO - Annales de l'I.H.P. Analyse non linéaire PY - 2011 SP - 775 EP - 795 VL - 28 IS - 6 PB - Elsevier UR - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2011.03.004/ DO - 10.1016/j.anihpc.2011.03.004 LA - en ID - AIHPC_2011__28_6_775_0 ER -
%0 Journal Article %A Kilpeläinen, Tero %A Kuusi, Tuomo %A Tuhola-Kujanpää, Anna %T Superharmonic functions are locally renormalized solutions %J Annales de l'I.H.P. Analyse non linéaire %D 2011 %P 775-795 %V 28 %N 6 %I Elsevier %U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2011.03.004/ %R 10.1016/j.anihpc.2011.03.004 %G en %F AIHPC_2011__28_6_775_0
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
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