Eigenfunctions for singular fully nonlinear equations in unbounded domains

DOI10.1007/s00030-010-0077-yzbMath1204.35087arXiv0904.1720OpenAlexW1990076807MaRDI QIDQ607777

Isabeau Birindelli, Francoise Demengel

Publication date: 3 December 2010

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.1720

zbMATH Keywords

Harnack's inequalitygeneralized eigenvaluefully nonlinear elliptic operators

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30) Singular elliptic equations (35J75)

Related Items

Estimates on elliptic equations that hold only where the gradient is large ⋮ Robust maximization of asymptotic growth under covariance uncertainty ⋮ Harnack inequality for singular fully nonlinear operators and some existence results ⋮ Alexandroff-Bakelman-Pucci estimate and Harnack inequality for degenerate/singular fully non-linear elliptic equations ⋮ Existence and uniqueness of solutions for a singular semilinear elliptic system ⋮ Harnack inequality for degenerate and singular elliptic equations with unbounded drift ⋮ Maximum principle for Pucci equations with sublinear growth in \(D u\) and its applications ⋮ Regularity and uniqueness of the first eigenfunction for singular fully nonlinear operators ⋮ Lipschitz regularity for viscosity solutions to parabolic \({p(x,t)}\)-Laplacian equations on Riemannian manifolds ⋮ Directional ellipticity on special domains: weak maximum and Phragmén-Lindelöf principles

Cites Work

• Unnamed Item
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• Harnack inequality for singular fully nonlinear operators and some existence results
• Alexandroff-Bakelman-Pucci estimate and Harnack inequality for degenerate/singular fully non-linear elliptic equations
• On the Harnack inequality for linear elliptic equations
• Krylov and Safonov estimates for degenerate quasilinear elliptic PDEs
• The Dirichlet problem for singular fully nonlinear operators
• Alexandroff-Bakelman-Pucci estimate for singular or degenerate fully nonlinear elliptic equations
• On the Liouville property for fully nonlinear equations
• Nonlinear eigenvalues and bifurcation problems for Pucci's operators
• Harnack type estimates for nonlinear elliptic systems and applications
• Comparison principle and Liouville type results for singular fully nonlinear operators
• Local behavior of solutions of quasi-linear equations
• First eigenvalue and maximum principle for fully nonlinear singular operators
• A qualitative Phragmèn-Lindelöf theorem for fully nonlinear elliptic equations
• Eigenvalue, maximum principle and regularity for fully non linear homogeneous operators
• Principal eigenvalues and the Dirichlet problem for fully nonlinear elliptic operators
• On the principal eigenvalue of elliptic operators in \(\mathbb R^N\) and applications
• On the principal eigenvalues and the Dirichlet problem for fully nonlinear operators
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
• On the alexandroff‐bakelman‐pucci estimate and the reversed hölder inequality for solutions of elliptic and parabolic equations
• On harnack type inequalities and their application to quasilinear elliptic equations
• The Alexandrov-Bakelman-Pucci Weak Maximum Principle for Fully Nonlinear Equations in Unbounded Domains