Rendiconti del Seminario Matematico della Università di Padova

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Volume 121, 2009, pp. 145–159
DOI: 10.4171/RSMUP/121-8

The Thermistor Obstacle Problem with Periodic Data

Maurizio Badii[1]

(1) Università di Roma La Sapienza, Italy

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.

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Badii Maurizio: The Thermistor Obstacle Problem with Periodic Data. Rend. Sem. Mat. Univ. Padova 121 (2009), 145-159. doi: 10.4171/RSMUP/121-8