Over-determined problems for \(k\)-Hessian equations in ring-shaped domains

DOI10.1016/j.na.2015.06.032zbMath1330.35274OpenAlexW2296845650MaRDI QIDQ499618

Bo Wang, Ji Guang Bao

Publication date: 30 September 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.06.032

zbMATH Keywords

radial symmetrymoving plane methodcorner lemma

Mathematics Subject Classification ID

Overdetermined systems of PDEs with constant coefficients (35N05)

Related Items (12)

Existence and multiplicity of radial solutions for a \(k\)-Hessian system ⋮ Radial solutions for fully nonlinear elliptic equations of Monge-Ampère type ⋮ The existence and blow-up of the radial solutions of a \((k_1, k_2)\)-Hessian system involving a nonlinear operator and gradient ⋮ Non-degeneracy and uniqueness of the radial solutions to a coupled \(k\)-Hessian system ⋮ A Liouville's theorem for some Monge-Ampère type equations ⋮ Existence of \(k\)-convex solutions for the \(k\)-Hessian equation ⋮ Radial solutions of a nonlinear \(k\)-Hessian system involving a nonlinear operator ⋮ On the stability of \(k\)-Hessian overdetermined and partially overdetermined problems in planar domain ⋮ Unnamed Item ⋮ Symmetry results for viscosity solutions of fully nonlinear equations in annular and exterior domains ⋮ Classification and existence of positive entire \(k\)-convex radial solutions for generalized nonlinear \(k\)-Hessian system ⋮ Radial symmetry and monotonicity of the positive solutions for \(k\)-Hessian equations

Cites Work

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