Liouville theorems for a family of very degenerate elliptic nonlinear operators
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Publication:2399697
DOI10.1016/j.na.2017.06.002zbMath1375.35171arXiv1705.05346OpenAlexW2963671052MaRDI QIDQ2399697
Giulio Galise, Isabeau Birindelli, Fabiana Leoni
Publication date: 24 August 2017
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.05346
Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
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Cites Work
- Unnamed Item
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- On the inequality \(F(x,D^2u)\geq f(u) +g(u)| Du|^q\)
- Existence and nonexistence theorem for entire subsolutions of \(k\)-Yamabe type equations
- Removable singularities for degenerate elliptic Pucci operators
- Homogeneous solutions of extremal Pucci's equations in planar cones
- Explicit subsolutions and a Liouville theorem for fully nonlinear uniformly elliptic inequalities in halfspaces
- Handlebodies and p-convexity
- Level set approach to mean curvature flow in arbitrary codimension
- Classification of solutions of some nonlinear elliptic equations
- Sublinear elliptic equations in \(\mathbb{R}{}^ n\)
- Superlinear indefinite elliptic problems and nonlinear Liouville theorems
- Liouville theorems for semilinear equations on the Heisenberg group
- On the Liouville property for fully nonlinear equations
- A family of degenerate elliptic operators: maximum principle and its consequences
- Riesz capacity, maximum principle and removable sets of fully nonlinear second order elliptic operators.
- Some remarks on singular solutions of nonlinear elliptic equations. I
- Quasilinear Dirichlet problems driven by positive sources
- Entire subsolutions of fully nonlinear degenerate elliptic equations
- Dirichlet duality and the nonlinear Dirichlet problem
- Global and local behavior of positive solutions of nonlinear elliptic equations
- User’s guide to viscosity solutions of second order partial differential equations
- Liouville theorems for elliptic inequalities and applications
- FURTHER STUDIES OF EMDEN'S AND SIMILAR DIFFERENTIAL EQUATIONS
- p-convexity, p-plurisubharmonicity, and the Levi problem
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