Compactness Method in the Finite Element Theory of Nonlinear Elliptic Problems.
Miloslav Feistauer, Alexander Zenisek (1987/88)
Numerische Mathematik
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Miloslav Feistauer, Alexander Zenisek (1987/88)
Numerische Mathematik
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W. Hackbusch (1979)
Numerische Mathematik
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N.L. Schryer (1971/72)
Numerische Mathematik
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Alexander Zenisek (1990/91)
Numerische Mathematik
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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.
Shiu-Hong Lui (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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The Schwarz alternating method can be used to solve elliptic boundary value problems on domains which consist of two or more overlapping subdomains. The solution is approximated by an infinite sequence of functions which results from solving a sequence of elliptic boundary value problems in each of the subdomains. In this paper, proofs of convergence of some Schwarz alternating methods for nonlinear elliptic problems which are known to have solutions by the monotone method (also known...
P. Midy (1975/76)
Numerische Mathematik
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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.
H.D. Mittelmann (1980)
Numerische Mathematik
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