Bounded solutions of a \(k\)-Hessian equation in a ball

DOI10.1016/j.jde.2016.03.021zbMath1339.35128arXiv1510.07669OpenAlexW2963174261MaRDI QIDQ272281

Vicente Vergara, Justino Sánchez

Publication date: 20 April 2016

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

Full work available at URL: https://arxiv.org/abs/1510.07669

zbMATH Keywords

radial solutionscritical exponents\(k\)-Hessian operatorEmden-Fowler transformationphase analysis

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Critical exponents in context of PDEs (35B33) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Quasilinear elliptic equations (35J62)

Related Items (21)

Positive solutions of singular \(k_i\)-Hessian systems ⋮ Existence for a \(k\)-Hessian equation involving supercritical growth ⋮ Singular solutions to \(k\)-Hessian equations with fast-growing nonlinearities ⋮ The radial solution for an eigenvalue problem of singular augmented Hessian equation ⋮ Analysis of nontrivial radial solutions for singular superlinear \(k\)-Hessian equations ⋮ The existence and multiplicity of \(k\)-convex solutions for a coupled \(k\)-Hessian system ⋮ The multiplicity of radial \(k\)-convex solutions for an augmented Hessian equation ⋮ Extremal for a \(k\)-Hessian inequality of Trudinger-Moser type ⋮ A necessary and sufficient condition for the existence of entire large solutions to a \(k\)-Hessian system ⋮ The extreme solutions for a σ‐Hessian equation with a nonlinear operator ⋮ The iterative properties of solutions for a singular k-Hessian system ⋮ Iterative properties of solution for a general singular \(n\)-Hessian equation with decreasing nonlinearity ⋮ Sharp estimates of semistable radial solutions of k-Hessian equations ⋮ New results of coupled system of \(k\)-Hessian equations ⋮ Bounded solutions of a \(k\)-Hessian equation involving a weighted nonlinear source ⋮ Extremal functions for a supercritical \(k\)-Hessian inequality of Sobolev-type ⋮ Multiplicity of bounded solutions to the \(k\)-Hessian equation with a Matukuma-type source ⋮ Admissible solutions to Hessian equations with exponential growth ⋮ Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations ⋮ The eigenvalue problem of a singular \(k\)-Hessian equation ⋮ Existence and multiplicity of radially symmetric \(k\)-admissible solutions for Dirichlet problem of \(k\)-Hessian equations

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