Article
On certain doubly non-uniformly and singular non-uniformly elliptic systems
Author/s | González Montesinos, María Teresa
![]() ![]() ![]() ![]() ![]() ![]() Ortegón Gallego, Francisco |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I |
Publication Date | 2003-09 |
Deposit Date | 2019-09-13 |
Published in |
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Abstract | 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 ... 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 kind of assumptions. The first one considers the case in which the two diffusion coefficients are not bounded below far from zero, arising to a doubly non-uniformly elliptic system. In the second one, we assume in addition that the thermal conductivity blows up for a finite value of the temperature, arising to a singular and non-uniformly coupled system. |
Project ID. | PB98-0583
![]() FQM-315 ![]() |
Citation | González Montesinos, M.T. y Ortegón Gallego, F. (2003). On certain doubly non-uniformly and singular non-uniformly elliptic systems. Nonlinear Analysis: Theory, Methods & Applications, 54 (6), 1193-1204. |
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