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 “On the Fast Solutions of Nonlinear Elliptic Equations.”
Compactness Method in the Finite Element Theory of Nonlinear Elliptic Problems.
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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.
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On some elliptic boundary-value problems with discontinuous nonlinearities
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Annales Polonici Mathematici
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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.