Because of the importance of Harnack inequalities, when the notion of (elliptic) Q-minima was founded in [1], it is asked whether these inequalities hold for it. The Harnack inequality for (elliptic)Q-minima then is p...Because of the importance of Harnack inequalities, when the notion of (elliptic) Q-minima was founded in [1], it is asked whether these inequalities hold for it. The Harnack inequality for (elliptic)Q-minima then is proved in [2]. Wieser extended the notion of Q-minima to the parabolic case, and obtained the Hlder continuity. In this note, under those conditions, by which the Hlder continuity of the parabolic Q-minima was obtained in [ 3], we prove that the Harnack inequalities hold for Q-minima.展开更多
基金Project supported by the National Natural Science Foundation of China
文摘Because of the importance of Harnack inequalities, when the notion of (elliptic) Q-minima was founded in [1], it is asked whether these inequalities hold for it. The Harnack inequality for (elliptic)Q-minima then is proved in [2]. Wieser extended the notion of Q-minima to the parabolic case, and obtained the Hlder continuity. In this note, under those conditions, by which the Hlder continuity of the parabolic Q-minima was obtained in [ 3], we prove that the Harnack inequalities hold for Q-minima.
