Advances in Differential Equations

Removable singularities for degenerate elliptic Pucci operators

Giulio Galise and Antonio Vitolo

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Abstract

In this paper, we introduce some fully nonlinear second order operators defined as weighted partial sums of the eigenvalues of the Hessian matrix, arising in geometrical contexts, with the aim to extend maximum principles and removable singularities results to cases of highly degenerate ellipticity.

Article information

Source
Adv. Differential Equations Volume 22, Number 1/2 (2017), 77-100.

Dates
First available in Project Euclid: 20 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.ade/1484881286

Subjects
Primary: 35J60: Nonlinear elliptic equations 35B50: Maximum principles 35B60: Continuation and prolongation of solutions [See also 58A15, 58A17, 58Hxx] 35D40: Viscosity solutions

Citation

Galise, Giulio; Vitolo, Antonio. Removable singularities for degenerate elliptic Pucci operators. Adv. Differential Equations 22 (2017), no. 1/2, 77--100. https://projecteuclid.org/euclid.ade/1484881286.


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