Pointwise regularity for solutions of double obstacle problems on metric spaces

Zohra Farnana

Abstract


We study continuity at a given point for solutions of double obstacle problems. We obtain pointwise continuity of the solutions for discontinuous obstacles. We also show Hölder continuity for solutions of the double obstacle problems if the obstacles are Hölder continuous.

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DOI: http://dx.doi.org/10.7146/math.scand.a-15184

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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