Nonlinear operator equations and boundary-value problems
Walter Petry (1974)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “On the iterative construction of a solution of nonlinear elliptic boundary value problems”
Nonlinear operator equations and boundary-value problems
On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type
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.
On Solvability of a Nonlinear Elliptic Boundary Value Problem
I.G. Stratis (1993)
Publications de l'Institut Mathématique
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On some elliptic boundary-value problems with discontinuous nonlinearities
Giovanni Anello (2005)
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.
On Monotone and Schwarz Alternating Methods for Nonlinear Elliptic PDEs
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...
Iterations for nonlocal elliptic problems
Ewa Sylwestrzak (2004)
Banach Center Publications
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Convergence of an iteration sequence for some class of nonlocal elliptic problems appearing in mathematical physics is studied.
Remarks on the Existence of Many Solutions of Certain Nonlinear Elliptic Equations
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.