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Generalized invariant sub- and super-solutions for the energy-decreasing flow

Published online by Cambridge University Press:  03 June 2011

José Maria Gomes
José Maria Gomes
Affiliation:
Centro de Matemática e Aplicações, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, 2829-516 Caparica, Portugal ([email protected])
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Abstract

We consider an extension of the notion of sub- and super-solutions for an elliptic boundary-value problem and derive the existence of a classical solution in the presence of pairs of well-ordered or non-well-ordered generalized sub- and super-solutions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 3 , June 2011 , pp. 521 - 536
Copyright
Copyright © Royal Society of Edinburgh 2011

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