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Artículo
On certain doubly non-uniformly and singular non-uniformly elliptic systems
(Elsevier, 2003-09)
We consider the steady state of the thermistor problem consisting of a coupled set of nonlinear elliptic equations governing the temperature and the electric potential. We study the existence of weak solutions under two ...
Artículo
Renormalized Solutions to a Nonlinear Parabolic-Elliptic System
(SIAM: Society for Industrial and Applied Mathematics, 2005)
The aim of this paper is to show the existence of renormalized solutions to a parabolicelliptic system with unbounded diffusion coefficients. This system may be regarded as a modified version of the well-known thermistor ...