Harnack inequality for nonlinear elliptic equations with strong absorption
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Publication:2404271
DOI10.1016/j.jde.2017.07.035zbMath1378.35126OpenAlexW2746971808MaRDI QIDQ2404271
Ahmed Mohammed, Giovanni Porru, Antonio Vitolo
Publication date: 18 September 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2017.07.035
Harnack inequalityviscosity solutionsPucci extremal operatorsfully nonlinear equations\(p\)-Laplace equations
Related Items (9)
On the strong maximum principle ⋮ Existence and uniqueness of nontrivial radial solutions for \(k\)-Hessian equations ⋮ Existence of positive entire solutions of fully nonlinear elliptic equations ⋮ Maximum principles for \(k\)-Hessian equations with lower order terms on unbounded domains ⋮ Large solutions of fully nonlinear equations: existence and uniqueness ⋮ Boundary blow-up solutions to the Monge-Ampère equation: sharp conditions and asymptotic behavior ⋮ Regularity properties for a class of non-uniformly elliptic Isaacs operators ⋮ Blow-up solutions for fully nonlinear equations: existence, asymptotic estimates and uniqueness ⋮ Lipschitz estimates for partial trace operators with extremal Hessian eigenvalues
Cites Work
- On the inequality \(F(x,D^2u)\geq f(u) +g(u)| Du|^q\)
- A note on the Liouville method applied to elliptic eventually degenerate fully nonlinear equations governed by the Pucci operators and the Keller-Osserman condition
- Harnack inequalities and ABP estimates for nonlinear second-order elliptic equations in unbounded domains
- A priori estimates of Osserman-Keller type
- Existence and uniqueness results for large solutions of general nonlinear elliptic equations
- Asymptotic behaviour of solutions and their derivatives, for semilinear elliptic problems with blowup on the boundary
- Generalized Harnack inequality for nonhomogeneous elliptic equations
- A qualitative Phragmèn-Lindelöf theorem for fully nonlinear elliptic equations
- Entire subsolutions of fully nonlinear degenerate elliptic equations
- Large solutions for Yamabe and similar problems on domains in Riemannian manifolds
- User’s guide to viscosity solutions of second order partial differential equations
- Explosive solutions of quasilinear elliptic equations: existence and uniqueness
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