Compactness Method in the Finite Element Theory of Nonlinear Elliptic Problems.
Miloslav Feistauer, Alexander Zenisek (1987/88)
Numerische Mathematik
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Displaying similar documents to “The finite element method for nonlinear elliptic equations with discontinuous coefficients.”
Compactness Method in the Finite Element Theory of Nonlinear Elliptic Problems.
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We establish two existence results for elliptic boundary-value problems with discontinuous nonlinearities. One of them concerns implicit elliptic equations of the form ψ(-Δu) = f(x,u). We emphasize that our assumptions permit the nonlinear term f to be discontinuous with respect to the second variable at each point.
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Michal Křížek, Liping Liu (1996)
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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.
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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.
On a Superlinear Elliptic Boundary Value Problem.
Peter Hess, Bernhard Ruf (1978/79)
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Fully nonlinear second order elliptic equations : recent development
Nicolai V. Krylov (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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