Open AccessPotential estimates and applications to elliptic equations
Author(s) -
Maria Transirico,
Sara Monsurrò,
Farman Mamedov
Publication year - 2015
Language(s) - English
Resource type - Conference proceedings
DOI - 10.3934/proc.2015.0793
Subject(s) - geodetic datum , a priori and a posteriori , divergence (linguistics) , dirichlet problem , dirichlet distribution , mathematics , type (biology) , mathematical analysis , geodesy , geology , boundary value problem , paleontology , linguistics , philosophy , epistemology
In this paper we prove a potential type estimate for the solutions of some classes of Dirichlet problems associated to certain non divergence structure elliptic equations with smooth datum. As a consequence of our potential bound, we can get an a priori estimate for the solutions of the same kind of Dirichlet problem, but with less regular datum
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