Quasiconvex functions and nonlinear PDEs

DOI10.1090/S0002-9947-2013-05760-1zbMath1277.35123OpenAlexW2168346106MaRDI QIDQ2847036

Rafal Goebel, Robert R. Jensen, Emmanuel Nicholas Barron

Publication date: 4 September 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2013-05760-1

zbMATH Keywords

principal curvaturerobustly quasiconvex

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Viscosity solutions to PDEs (35D40) Comparison principles in context of PDEs (35B51)

Related Items

A convergence result related to the geometric flow of motion by principal negative curvature, The limit shape of convex hull peeling, Characterizations of nonsmooth robustly quasiconvex functions, Second-order characterizations of quasiconvexity and pseudoconvexity for differentiable functions with Lipschitzian derivatives, Zero-convex functions, perturbation resilience, and subgradient projections for feasibility-seeking methods, Computing the level set convex hull, Second-order optimality conditions for efficiency in \(C^{1,1}\)-smooth quasiconvex multiobjective programming problem, Second-order characterizations of \(\mathcal{C}^1\)-smooth robustly quasiconvex functions, Convex and quasiconvex functions in metric graphs, The Dirichlet problem for prescribed principal curvature equations

Cites Work

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• Convexity and semiconvexity along vector fields
• Calculus of variations in \(L^ \infty\)
• Convex viscosity solutions and state constraints
• Dynamic programming for stochastic target problems and geometric flows
• Controlled Markov processes and viscosity solutions
• EXISTENCE AND COMPARISON RESULTS FOR FULLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS WITHOUT ZEROTH-ORDER TERM1*
• A Representation Formula for the Mean Curvature Motion
• Stable generalization of convex functions
• The convex envelope is the solution of a nonlinear obstacle problem
• Stability of generalized monotone maps with respect to their characterizations
• COMPUTING THE CONVEX ENVELOPE USING A NONLINEAR PARTIAL DIFFERENTIAL EQUATION
• The Dynamic Programming Equation for Second Order Stochastic Target Problems
• User’s guide to viscosity solutions of second order partial differential equations
• Variational Analysis
• Duality methods for the study of Hamilton–Jacobi equations
• Glimpses upon quasiconvex analysis
• A deterministic‐control‐based approach motion by curvature
• Convex Analysis
• The Monge-Ampère equation