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Transactions of the American Mathematical Society

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Removable singularities for degenerate elliptic equations without conditions on the growth of the solution


Author: Antonio Vitolo
Journal: Trans. Amer. Math. Soc. 370 (2018), 2679-2705
MSC (2010): Primary 35J67, 35J70, 35J60, 35D40
DOI: https://doi.org/10.1090/tran/7095
Published electronically: November 14, 2017
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Abstract: The aim of the paper is to state removable singularities results for solutions of fully nonlinear degenerate elliptic equations without any knowledge of the behaviour of the solution approaching the singular set and to obtain unconditional results of Brezis-Veron type for operators defined as the partial sum of the eigenvalues of the Hessian matrix.


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Additional Information

Antonio Vitolo
Affiliation: Department of Mathematics, University of Salerno, Italy
Email: vitolo@unisa.it

DOI: https://doi.org/10.1090/tran/7095
Keywords: Elliptic equations, removable singularities
Received by editor(s): June 28, 2014
Received by editor(s) in revised form: January 4, 2016, January 18, 2016, and October 12, 2016
Published electronically: November 14, 2017
Additional Notes: The author wishes to thank GNAMPA (Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni) for partial support.
Article copyright: © Copyright 2017 American Mathematical Society

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