Systems of fully nonlinear degenerate elliptic obstacle problems with Dirichlet boundary conditions

DOI10.1007/S10231-023-01343-WzbMath1523.35166arXiv2301.07795OpenAlexW4378571697MaRDI QIDQ6046846

Savvas Andronicou, Emmanouil Milakis

Publication date: 6 October 2023

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.07795

zbMATH Keywords

fully nonlinear equationsexistence and uniqueness of viscosity solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Viscosity solutions to PDEs (35D40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Optimal regularity in the optimal switching problem
• Viscosity solutions of systems of PDEs with interconnected obstacles and switching problem
• Systems of variational inequalities for non-local operators related to optimal switching problems: existence and uniqueness
• Systems of variational inequalities in the context of optimal switching problems and operators of Kolmogorov type
• The finite horizon optimal multi-modes switching problem: the viscosity solution approach
• Switching problem and related system of reflected backward SDEs
• A PDE approach to regularity of solutions to finite horizon optimal switching problems
• Management strategies for run-of-river hydropower plants: an optimal switching approach
• Multi-dimensional BSDE with oblique reflection and optimal switching
• Regularity for the nonlinear Signorini problem
• Existence, uniqueness and regularity of solutions to systems of nonlocal obstacle problems related to optimal switching
• THE OBSTACLE PROBLEM FOR MONGE-AMPÉRE EQUATION
• A Finite Horizon Optimal Multiple Switching Problem
• Optimal Stochastic Switching and the Dirichlet Problem for the Bellman Equation
• User’s guide to viscosity solutions of second order partial differential equations
• ON A FINITE HORIZON STARTING AND STOPPING PROBLEM WITH RISK OF ABANDONMENT
• An Extension Problem Related to the Fractional Laplacian
• Regularity for Fully Nonlinear Elliptic Equations with Neumann Boundary Data

This page was built for publication: Systems of fully nonlinear degenerate elliptic obstacle problems with Dirichlet boundary conditions