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On location of maximal gradient of torsion function over some non-symmetric planar domains

On location of maximal gradient of torsion function over some non-symmetric planar domains

We investigate the location of the maximal gradient of the torsion function on some non-symmetric planar domains. First, for triangles, by reflection method, we show that the maximal gradient of the torsion function always occurs on the longest sides, lying between the foot of the altitude and the middle point. …