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Abstract and Applied Analysis
Volume 2016, Article ID 6463030, 6 pages
Research Article

An Application of Potential Estimates to A Priori Bounds for Elliptic Equations

1Mathematics and Mechanics Institute, Azerbaijan National Academy of Sciences, 10 Istiglaliyyat Street, Az1001, Baku, Azerbaijan
2Dipartimento di Matematica, Università di Salerno, Via Giovanni Paolo II 132, 84084 Fisciano, Italy

Received 15 December 2015; Accepted 3 February 2016

Academic Editor: Julio D. Rossi

Copyright © 2016 Farman Mamedov et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A potential estimate type approach is used in order to obtain some a priori bounds for the solutions of certain classes of Dirichlet problems associated with nondivergence structure elliptic equations.