Upper bounds for the eigenvalues of Hessian equations

DOI10.1007/s10231-012-0307-5zbMath1295.35345arXiv1209.0877OpenAlexW2064887495MaRDI QIDQ2249402

Francesco Della Pietra, Nunzia Gavitone

Publication date: 1 July 2014

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0877

zbMATH Keywords

eigenvalue bounds\(k\)-Hessian operators

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15)

Related Items (12)

Bounded solutions of a \(k\)-Hessian equation in a ball ⋮ An isoperimetric result for the fundamental frequency via domain derivative ⋮ Existence and uniqueness of nontrivial radial solutions for \(k\)-Hessian equations ⋮ Analysis of nontrivial radial solutions for singular superlinear \(k\)-Hessian equations ⋮ Symmetrization with respect to the anisotropic perimeter and applications ⋮ Hardy-Poincaré type inequalities related to \(k\)-Hessian operator ⋮ New results of coupled system of \(k\)-Hessian equations ⋮ Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators ⋮ Bounded solutions of a \(k\)-Hessian equation involving a weighted nonlinear source ⋮ Multiplicity of bounded solutions to the \(k\)-Hessian equation with a Matukuma-type source ⋮ Boundary behavior of \(k\)-convex solutions for singular \(k\)-Hessian equations ⋮ Symmetrization with respect to mixed volumes

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