Geodesic
Bounded Pointwise Approximation of Solutions of Elliptic Equations
Canadian journal of mathematics, Tome 48 (1996) no. 3, pp. 496-511

Voir la notice de l'article provenant de la source Cambridge University Press

We characterize open subsets U of RN in which the bounded solutions of certain elliptic equations can be approximated pointwise by uniformly bounded solutions that are continuous in Ū. This result is established in terms of certain capacities. For closed subsets X, this characterization allows us to approximate bounded solutions in X ° uniformly on relatively closed subsets of X ° by solutions continuous on certain subsets of the boundary of X.
DOI : 10.4153/CJM-1996-025-0
Mots-clés : 35A35, 41A30, 35J30, 31B15 
Bonilla, A.; Trujillo-González, R. Bounded Pointwise Approximation of Solutions of Elliptic Equations. Canadian journal of mathematics, Tome 48 (1996) no. 3, pp. 496-511. doi: 10.4153/CJM-1996-025-0
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