Advances in Differential Equations

Removable singularities for degenerate elliptic Pucci operators

Giulio Galise and Antonio Vitolo

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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

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

First available in Project Euclid: 20 January 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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


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

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