A symmetrization result for Monge–Ampère type equations

DOI10.1002/mana.200410495zbMath1189.35141OpenAlexW2078285090MaRDI QIDQ5296679

Cristina Trombetti, Barbara Brandolini

Publication date: 3 August 2007

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200410495

zbMATH Keywords

eigenvalue problemsMonge-Ampère equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Symmetries, invariants, etc. in context of PDEs (35B06) Comparison principles in context of PDEs (35B51) Monge-Ampère equations (35J96)

Related Items (12)

Stability results for some fully nonlinear eigenvalue estimates ⋮ Isoperimetric estimates for eigenfunctions of Hessian operators ⋮ Paths to uniqueness of critical points and applications to partial differential equations ⋮ Symmetrization with respect to the anisotropic perimeter and applications ⋮ A remark on optimal weighted Poincaré inequalities for convex domains ⋮ On a time-depending Monge-Ampère type equation ⋮ Hardy-Poincaré type inequalities related to \(k\)-Hessian operator ⋮ Comparison results for Hessian equations via symmetrization ⋮ Upper bounds for the eigenvalues of Hessian equations ⋮ Symmetrization with respect to mixed volumes ⋮ Sharp Estimates for Eigenfunctions of a Neumann Problem ⋮ A sharp global estimate and an overdetermined problem for Monge-Ampère type equations

Cites Work

• Rearrangements and convexity of level sets in PDE

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