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Zbl 0858.35008
Křížek, M.; Liu, L.
On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type. (English)
[J] Appl. Math. 24, No.1, 97-107 (1996). ISSN 1233-7234; ISSN 1730-6280/e

Summary: 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.

MSC 2000:: *35B05 General behavior of solutions of PDE
35J65 (Nonlinear) BVP for (non)linear elliptic equations

Keywords: Newton boundary conditions; comparison principle; anisotropic magnetic cores

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