Resonance Phenomena for Second-Order Stochastic Control Equations

DOI10.1137/080744268zbMath1210.35273arXiv1010.5182OpenAlexW2964028705MaRDI QIDQ5392365

Boyan Sirakov, Patricio L. Felmer, Alexander Quaas

Publication date: 8 April 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.5182

zbMATH Keywords

Dirichlet problemprincipal eigenvalueBellman operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Partial functional-differential equations (35R10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Resonance in context of PDEs (35B34)

Related Items (12)

Ambrosetti-Prodi type results for Dirichlet problems of fractional Laplacian-like operators ⋮ Principal spectral curves for Lane-Emden fully nonlinear type systems and applications ⋮ Global stability of steady states in the classical Stefan problem for general boundary shapes ⋮ Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term ⋮ Existence and multiplicity results for a critical superlinear fractional Ambrosetti-Prodi type problem ⋮ Existence, nonexistence and multiplicity results for nonlocal Dirichlet problems ⋮ Landesman-Lazer type results for second order Hamilton-Jacobi-Bellman equations ⋮ Regularity and uniqueness of the first eigenfunction for singular fully nonlinear operators ⋮ Generalized limit theorem and bifurcation for problems with Pucci's operator ⋮ Principal eigenvalues of a class of nonlinear integro-differential operators ⋮ A priori estimates and multiplicity for systems of elliptic PDE with natural gradient growth ⋮ The Dirichlet problem for the Bellman equation at resonance

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