On a representation of fully nonlinear elliptic operators in terms of pure second order derivatives and its applications

Journal of Mathematical Sciences ◽

10.1007/s10958-011-0445-0 ◽

2011 ◽

Vol 177 (1) ◽

pp. 1-26 ◽

Author(s):

N. V. Krylov

Keyword(s):

Elliptic Operators ◽

Second Order ◽

Fully Nonlinear ◽

Nonlinear Elliptic ◽

Fully Nonlinear Elliptic Operators

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Liouville properties and critical value of fully nonlinear elliptic operators

Journal of Differential Equations ◽

10.1016/j.jde.2016.06.006 ◽

2016 ◽

Vol 261 (7) ◽

pp. 3775-3799 ◽

Author(s):

Martino Bardi ◽

Annalisa Cesaroni

Keyword(s):

Critical Value ◽

Elliptic Operators ◽

Fully Nonlinear ◽

Nonlinear Elliptic ◽

Fully Nonlinear Elliptic Operators

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Principal eigenvalues and the Dirichlet problem for fully nonlinear elliptic operators

Advances in Mathematics ◽

10.1016/j.aim.2007.12.002 ◽

2008 ◽

Vol 218 (1) ◽

pp. 105-135 ◽

Author(s):

Alexander Quaas ◽

Boyan Sirakov

Keyword(s):

Dirichlet Problem ◽

Elliptic Operators ◽

Fully Nonlinear ◽

Principal Eigenvalues ◽

Nonlinear Elliptic ◽

Fully Nonlinear Elliptic Operators

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Flat free boundaries regularity in two-phase problems for a class of fully nonlinear elliptic operators with variable coefﬁcients

Interfaces and Free Boundaries ◽

10.4171/ifb/208 ◽

2009 ◽

pp. 177-199 ◽

Author(s):

Roberto Argiolas ◽

Fausto Ferrari

Keyword(s):

Variable Coefficients ◽

Elliptic Operators ◽

Free Boundaries ◽

Two Phase ◽

Fully Nonlinear ◽

Nonlinear Elliptic ◽

Fully Nonlinear Elliptic Operators

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Two-phase problems for a class of fully nonlinear elliptic operators: Lipschitz free boundaries are C 1,γ

American Journal of Mathematics ◽

10.1353/ajm.2006.0023 ◽

2006 ◽

Vol 128 (3) ◽

pp. 541-571 ◽

Author(s):

Fausto Ferrari

Keyword(s):

Elliptic Operators ◽

Free Boundaries ◽

Two Phase ◽

Fully Nonlinear ◽

Nonlinear Elliptic ◽

Fully Nonlinear Elliptic Operators

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Nontransversal intersection of free and fixed boundaries for fully nonlinear elliptic operators in two dimensions

Analysis & PDE ◽

10.2140/apde.2016.9.487 ◽

2016 ◽

Vol 9 (2) ◽

pp. 487-502 ◽

Author(s):

Emanuel Indrei ◽

Andreas Minne

Keyword(s):

Elliptic Operators ◽

Two Dimensions ◽

Fully Nonlinear ◽

Nonlinear Elliptic ◽

Fixed Boundaries ◽

Fully Nonlinear Elliptic Operators

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Single phase problem with curvature for a class of fully nonlinear elliptic operators

Ricerche di Matematica ◽

10.1007/s11587-008-0022-0 ◽

2008 ◽

Vol 57 (1) ◽

pp. 1-12

Author(s):

Roberto Argiolas

Keyword(s):

Single Phase ◽

Elliptic Operators ◽

Phase Problem ◽

Fully Nonlinear ◽

Nonlinear Elliptic ◽

Fully Nonlinear Elliptic Operators

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Nonuniqueness for the Dirichlet Problem for Fully Nonlinear Elliptic Operators and the Ambrosetti–Prodi Phenomenon

Analysis and Topology in Nonlinear Differential Equations ◽

10.1007/978-3-319-04214-5_24 ◽

2014 ◽

pp. 405-421 ◽

Author(s):

Boyan Sirakov

Keyword(s):

Dirichlet Problem ◽

Elliptic Operators ◽

Fully Nonlinear ◽

Nonlinear Elliptic ◽

Fully Nonlinear Elliptic Operators

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A lower bound for the principal eigenvalue of fully nonlinear elliptic operators

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2020158 ◽

2020 ◽

Vol 19 (7) ◽

pp. 3613-3623

Author(s):

Pablo Blanc ◽

Keyword(s):

Lower Bound ◽

Principal Eigenvalue ◽

Elliptic Operators ◽

Fully Nonlinear ◽

Nonlinear Elliptic ◽

Fully Nonlinear Elliptic Operators

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Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds

Duke Mathematical Journal ◽

10.1215/00127094-2713591 ◽

2014 ◽

Vol 163 (8) ◽

pp. 1491-1524 ◽

Author(s):

Bo Guan

Keyword(s):

Riemannian Manifolds ◽

Elliptic Equations ◽

Nonlinear Elliptic Equations ◽

Second Order ◽

Fully Nonlinear Elliptic Equations ◽

Fully Nonlinear ◽

Nonlinear Elliptic

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Mini review of fundamental notions in the theory of fully nonlinear elliptic second-order differential equations

Journal of Mathematical Sciences ◽

10.1007/bf02680147 ◽

2000 ◽

Vol 101 (5) ◽

pp. 3503-3511 ◽

Author(s):

N. M. Ivochkina

Keyword(s):

Differential Equations ◽

Second Order ◽

Fully Nonlinear ◽

Second Order Differential Equations ◽

Nonlinear Elliptic

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