Electronic Journal of Differential Equations,
Conference 09 (2002), pp. 127-137.

Title: Existence of weak solutions for the thermistor problem with degeneracy

Authors: Abderrahmane El Hachimi (Faculte des Sciences Jadida, Maroc)
  Moulay Rachid Sidi Ammi (Faculte des Sciences Jadida, Maroc)
 
Abstract: We prove the existence of weak solutions for the thermistor
  problem with degeneracy by using a regularization and
  truncation process. The solution of the regularized-truncated
  problem is obtained by using Schauder's fixed point theorem.
  Then the solutions of the thermistor problem are obtained by
  applying the monotonicity-compacity method of Lions.


Published December 28, 2002.
Math Subject Classifications: 35K20, 35K35, 35K45, 35K60.
Key Words: Thermistor; degeneracy; existence; regularization; 
theorem of Leray Schauder; monotonicity-compacity method.