Author(s): Santos, Telma João
Date: 2014
Persistent ID: http://hdl.handle.net/10174/9506
Origin: Repositório Científico da Universidade de Évora
Subject(s): Strong Maximum Principle; Comparison Results
Author(s): Santos, Telma João
Date: 2014
Persistent ID: http://hdl.handle.net/10174/9506
Origin: Repositório Científico da Universidade de Évora
Subject(s): Strong Maximum Principle; Comparison Results
The Strong Maximum Principle (SMP) is a well-known property, which can be recognized as a kind of uniqueness result for solutions of Partial Differential Equations. Through the necessary conditions of optimality it is applicable to minimizers in some classes of variational problems as well. The work is devoted to various versions of SMP in such variational setting, which hold also if the respective Euler-Lagrange equations are no longer valid. We prove variational SMP for some types of integral functionals in the traditional sense as well as obtain an extension of this principle, which can be seen as an extremal property of a series of specific functions.