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

Vitolo, Antonio

doi:10.1090/tran/7095

Removable singularities for degenerate elliptic equations without conditions on the growth of the solution
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Trans. Amer. Math. Soc. 370 (2018), 2679-2705 Request permission

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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