The object of this paper is the study of an obstacle thermistor problem with a nonlocal term. Using the classical Lax-Milgram theorem, a result of Lions and a fixed point argument we prove existence of weak periodic solutions. Finally, by means of some a-priori estimates in Campanato's spaces, we obtain the regularity of these solutions.
Cite this article
Maurizio Badii, The Thermistor Obstacle Problem with Periodic Data. Rend. Sem. Mat. Univ. Padova 121 (2009), pp. 145–159DOI 10.4171/RSMUP/121-8