Geodesic
Pointwise Estimates and Monotonicity Formulas without Maximum Principle
Journal of convex analysis, Tome 20 (2013) no. 1, pp. 199-22.

Voir la notice de l'article provenant de la source Heldermann Verlag

We study a second order elliptic partial differential equation for which a maximum principle is not available and whose nonlinearity is not C1. We discuss the role of a pointwise gradient bound and we derive a monotonicity estimate near flat points of the free boundary.
Classification : 35B09, 35B45, 35J25, 35J61, 35R35
Mots-clés : Elliptic PDEs, a-priori estimates, monotonicity formula, free boundary 
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     author = {M. Montenegro and E. Valdinoci},
     title = {Pointwise {Estimates} and {Monotonicity} {Formulas} without {Maximum} {Principle}},
     journal = {Journal of convex analysis},
     pages = {199--22},
     publisher = {mathdoc},
     volume = {20},
     number = {1},
     year = {2013},
     url = {http://geodesic.mathdoc.fr/item/JCA_2013_20_1_JCA_2013_20_1_a11/}
}
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M. Montenegro; E. Valdinoci. Pointwise Estimates and Monotonicity Formulas without Maximum Principle. Journal of convex analysis, Tome 20 (2013) no. 1, pp. 199-22. http://geodesic.mathdoc.fr/item/JCA_2013_20_1_JCA_2013_20_1_a11/