Existence results for bellman equations and maximum principles in unbounded domains

DOI10.1080/03605309908821493zbMath0961.35021OpenAlexW2166050244MaRDI QIDQ4719935

Jérôme Busca

Publication date: 15 May 2001

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309908821493

zbMATH Keywords

uniformly elliptic operatorsymmetry of solutionHamilton-Jacobi-Bellmann equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45)

Related Items (11)

Harnack type estimates for nonlinear elliptic systems and applications ⋮ On the existence of nonautonomous ODE with application to semilinear elliptic equations ⋮ Maximum principle in some unbounded domains for an elliptic operator with unbounded drift ⋮ Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls. II ⋮ Unnamed Item ⋮ Principal eigenvalues and the Dirichlet problem for fully nonlinear elliptic operators ⋮ On the Phragmén-Lindelöf principle for second-order elliptic equations ⋮ Maximum principles for \(k\)-Hessian equations with lower order terms on unbounded domains ⋮ Principal eigenvalues and an anti-maximum principle for homogeneous fully nonlinear elliptic equations ⋮ Directional ellipticity on special domains: weak maximum and Phragmén-Lindelöf principles ⋮ Generalized principal eigenvalues of convex nonlinear elliptic operators in \(\mathbb{R}^N\)

Cites Work

• A variational inequality approach to the Bellman-Dirichlet equation for two elliptic operators
• Résolution analytique des problèmes de Bellman-Dirichlet
• Inequalities for second-order elliptic equations with applications to unbounded domains. I
• Optimal Control of Stochastic Integrals and Hamilton–Jacobi–Bellman Equations. II
• An Example of a One-Dimensional Controlled Process
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
• ON EQUATIONS OF MINIMAX TYPE IN THE THEORY OF ELLIPTIC AND PARABOLIC EQUATIONS IN THE PLANE

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