Sobolev regularity for nonlinear Poisson equations with Neumann boundary conditions on Riemannian manifolds

DOI10.1515/forum-2022-0119OpenAlexW3209813093MaRDI QIDQ2689771

Alessandro Goffi, Francesco Pediconi

Publication date: 14 March 2023

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.15450

zbMATH Keywords

Riemannian manifoldHamilton-Jacobi equationsmean field gamesBernstein methodBochner's identitymaximal \(L^q\)-regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Elliptic equations on manifolds, general theory (58J05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Semilinear elliptic equations (35J61) Hamilton-Jacobi equations (35F21) PDEs in connection with mean field game theory (35Q89)

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