Displaying similar documents to “Existence and nonexistence of classical solutions of the Dirichlet problem for a class of fully nonlinear nonuniformly elliptic equations”

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.

Voltage-Current Characteristcs of Varistors and Thermistors

Giovanni Cimatti (2009)

Bollettino dell'Unione Matematica Italiana

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The voltage-current characteristics of two classes of nonlinear resistors (varistors and thermistors) modelled as three-dimensional bodies is derived from the corresponding systems of nonlinear elliptic boundary value problems. Theorems of existence and uniqueness of solutions are presented, together with certain properties of monotonicity of the conductance.