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Theme for TIFR Centre For Applicable Mathematics, Bangalore

Abstract:  These two talks will cover some regularity  results for the very weak solutions to  p-laplacian. In the case p=2, it can be viewed as an extension of a fundamental result of Myer concerning higher Sobolev integrability. Hence in that sense, the results are new even for the case when $p=2$ and was not covered in the Mphil course on regularity theory.