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MR1216730 (94e:35094) 35L70 (34G20 35B25 58F39)
Calsina, Ángel; Mora, Xavier; Solà-Morales, Joan The dynamical approach to elliptic problems in cylindrical domains, and a study of their parabolic singular limit. J. Differential Equations 102 (1993), no. 2, 244--304.
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