Boundary value problems for some fully nonlinear elliptic equations

DOI10.1007/s00526-006-0072-7zbMath1137.58010arXivmath/0604080OpenAlexW2592627418MaRDI QIDQ2641910

Szu-Yu Sophie Chen

Publication date: 17 August 2007

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604080

zbMATH Keywords

curvatureYamabe problemconformally flat

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Boundary value problems on manifolds (58J32)

Related Items (12)

Oblique boundary value problems for augmented Hessian equations. I ⋮ Conformal deformation on manifolds with boundary ⋮ Estimates and existence results for a fully nonlinear Yamabe problem on manifolds with boundary ⋮ The Neumann problem for a type of fully nonlinear complex equations ⋮ Oblique boundary value problems for augmented Hessian equations III ⋮ A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary ⋮ The Neumann problem for Hessian equations ⋮ The Neumann problem for parabolic Hessian quotient equations ⋮ From Optimal Transportation to Conformal Geometry ⋮ A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions ⋮ Prescribing the symmetric function of the eigenvalues of the Schouten tensor ⋮ Local gradient estimate for fully non-linear Yamabe problem with boundary

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