László Simon (1992)
Publicacions Matemàtiques
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We prove the existence and uniqueness of weak solutions of boundary problem value problems in an unbounded domain Ω ⊂ R for strongly nonlinear 2m order elliptic differential equations.
Antonella Fiacca, Nikolaos Matzakos, Nikolaos S. Papageorgiou (2002)
Rendiconti del Seminario Matematico della Università di Padova
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Walter Petry (1972)
Commentationes Mathematicae Universitatis Carolinae
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Shigeru Sakaguchi (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Michal Křížek, Liping Liu (1996)
Applicationes Mathematicae
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A nonlinear elliptic partial differential equation with the Newton boundary conditions is examined. We prove that for greater data we get a greater weak solution. This is the so-called comparison principle. It is applied to a steady-state heat conduction problem in anisotropic magnetic cores of large transformers.
M. Chipot, G. Michaille (1989)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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