# American Institute of Mathematical Sciences

May  2012, 11(3): 861-883. doi: 10.3934/cpaa.2012.11.861

## Bernstein estimates: weakly coupled systems and integral equations

 1 Department of Mathematics, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal 2 Instituto Superior Técnico, Universidade Técnica de Lisboa, Departamento de Matemática, Av. Rovisco Pais, 1049-001 Lisboa, Portugal

Received  October 2010 Revised  November 2011 Published  December 2011

In this paper we extend the classical Bernstein estimates for systems of weakly coupled fully non-linear elliptic equations as well as scalar elliptic equations with non-local integral terms and singular kernels.
Citation: Diogo A. Gomes, Gabriele Terrone. Bernstein estimates: weakly coupled systems and integral equations. Communications on Pure & Applied Analysis, 2012, 11 (3) : 861-883. doi: 10.3934/cpaa.2012.11.861
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