Maximum principles for a class of nonlinear second-order elliptic boundary value problems in divergence formReport as inadecuate




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Boundary Value Problems

, 2006:64543

First Online: 18 June 2006Received: 22 January 2006Accepted: 26 March 2006

Abstract

For a class of nonlinear elliptic boundary value problems in divergence form, we construct some general elliptic inequalities for appropriate combinations ofOpen image in new window andOpen image in new window, whereOpen image in new window are the solutions of our problems. From these inequalities, we derive, using Hopf-s maximum principles, some maximum principles for the appropriate combinations ofOpen image in new window andOpen image in new window, and we list a few examples of problems to which these maximum principles may be applied.

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Author: Cristian Enache

Source: https://link.springer.com/







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