Large solutions of quasilinear elliptic system of competitive type: existence and asymptotic behavior.
Wei, Lin, Yang, Zuodong (2010)
International Journal of Differential Equations
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Wei, Lin, Yang, Zuodong (2010)
International Journal of Differential Equations
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Fernández Bonder, Julián (2004)
Abstract and Applied Analysis
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Alves, C.O., Concalves, J.V., Maia, L.A. (1996)
Abstract and Applied Analysis
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Uraltseva, N. N.
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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.
Zhang, Peng, Liao, Jia-Feng (2010)
Abstract and Applied Analysis
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Edward N. Dancer, Shusen Yan (2007)
Bollettino dell'Unione Matematica Italiana
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We show how a change of variable and peak solution methods can be used to prove that a number of nonlinear elliptic partial differential equations have many solutions.
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.
El Manouni, Said, Perera, Kanishka (2007)
Boundary Value Problems [electronic only]
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Liang, Jin, Rodrigues, José Francisco (1996)
Portugaliae Mathematica
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