Solvability of uniformly elliptic fully nonlinear PDE
type: Item
instance of: scholarly article
title: Solvability of uniformly elliptic fully nonlinear PDE
zbMATH Open document ID: 1193.35054
author: Boyan Sirakov
published in: Archive for Rational Mechanics and Analysis
publication date: 2010-02-25T00:00:00Z
review text: The author studies uniqueness and non-uniqueness of viscosity solutions of uniformly elliptic fully nonlinear equations of the Hamilton-Jacobi-Bellman-Isaacs type \[ F(D^2u,Du,u,x)=f(x)\;\text{ in } \Omega, \quad u=\psi(x)\;\text{ on } \partial\Omega. \] with unbounded ingredients and quadratic growth in the gradient without hypotheses of convexity or properness. Some of the presented results are new even for equations in divergence form.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35D40
zbMATH DE Number: 5675034
zbMATH Keywords: elliptic fully nonlinear equations
zbMATH Keywords: viscosity solutions
zbMATH Keywords: Dirichlet problem
reviewed by: Lubomira Softova
MaRDI profile type: Publication
full work available at URL: s00205-009-0218-9
OpenAlex ID: W2025774264
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DOI: 10.1007/S00205-009-0218-9
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description: scientific article; zbMATH DE number 5675034