Singular nonlinear elliptic equations in .
Alves, C.O., Goncalves, J.V., Maia, L.A. (1998)
Abstract and Applied Analysis
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Alves, C.O., Goncalves, J.V., Maia, L.A. (1998)
Abstract and Applied Analysis
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Nicolai V. Krylov (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Žubrinić, Darko (2000)
Abstract and Applied Analysis
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Guy Barles, Alain-Philippe Blanc, Christine Georgelin, Magdalena Kobylanski (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Tiantian Qiao, Weiguo Li, Kai Liu, Boying Wu (2014)
Annales Polonici Mathematici
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The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.
Mario Zuluaga Uribe (2001)
Archivum Mathematicum
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In this paper we consider the existence of nonzero solutions of an undecoupling elliptic system with zero Dirichlet condition. We use Leray-Schauder Degree Theory and arguments of Measure Theory. We will show the existence of positive solutions and we give applications to biharmonic equations and the scalar case.
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.