Existence of radial solutions to biharmonic \(k\)-Hessian equations

DOI10.1016/j.jde.2015.04.001zbMath1337.34023arXiv1503.06700OpenAlexW2963235652MaRDI QIDQ2351972

Yanyan Li

Publication date: 29 June 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06700

zbMATH Keywords

existence of solutionsnon-existence of solutions\(k\)-Hessian type equationsbiharmonic boundary value problems

Mathematics Subject Classification ID

Singular nonlinear boundary value problems for ordinary differential equations (34B16) Parameter dependent boundary value problems for ordinary differential equations (34B08) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Higher-order elliptic systems (35J48)

Related Items (5)

Polyharmonic \(k\)-Hessian equations in \(\mathbb{R}^N\) ⋮ Analysis of nontrivial radial solutions for singular superlinear \(k\)-Hessian equations ⋮ Explicit blowing up solutions for a higher order parabolic equation with Hessian nonlinearity ⋮ On polyharmonic regularizations of \(k\)-Hessian equations: variational methods ⋮ New results of coupled system of \(k\)-Hessian equations

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