Geodesic
Strong Maximum Principle for an~Elliptic Operator on a~Stratified Set
Matematičeskie zametki, Tome 92 (2012) no. 2, pp. 276-290

Voir la notice de l'article provenant de la source Math-Net.Ru

We derive a necessary condition for an extremum for functions on stratified sets in terms of integrals of the normal derivative over spheres and use this condition to prove the strong maximum principle for the divergence operator on a stratified set.
Keywords: stratified set, extremum, necessary condition, divergence operator, strong maximum principle. 
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     title = {Strong {Maximum} {Principle} for {an~Elliptic} {Operator} on {a~Stratified} {Set}},
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S. N. Oshchepkova; O. M. Penkin; D. Savasteev. Strong Maximum Principle for an~Elliptic Operator on a~Stratified Set. Matematičeskie zametki, Tome 92 (2012) no. 2, pp. 276-290. http://geodesic.mathdoc.fr/item/MZM_2012_92_2_a8/