Existence for a \(k\)-Hessian equation involving supercritical growth

DOI10.1016/j.jde.2019.01.032zbMath1426.35120OpenAlexW2912211159WikidataQ128416871 ScholiaQ128416871MaRDI QIDQ2631722

João Marcos Bezerra do Ó, Pedro Ubilla, José Francisco De Oliveira

Publication date: 16 May 2019

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

Full work available at URL: https://doi.org/10.1016/j.jde.2019.01.032

zbMATH Keywords

variational methodssupercritical growth\(k\)-Hessian equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60)

Related Items (16)

Existence and multiplicity of radial solutions for a \(k\)-Hessian system ⋮ Singular solutions to \(k\)-Hessian equations with fast-growing nonlinearities ⋮ Existence of entire radial solutions to Hessian type system ⋮ Existence and nonexistence of entire \(k\)-convex radial solutions to Hessian type system ⋮ A gradient type term for the \(k\)-Hessian equation ⋮ Existence and multiplicity of radially symmetric \(k\)-admissible solutions for a \(k\)-Hessian equation ⋮ Sharp higher order Adams' inequality with exact growth condition on weighted Sobolev spaces ⋮ Existence of \(k\)-convex solutions for the \(k\)-Hessian equation ⋮ Equivalence of critical and subcritical sharp Trudinger-Moser inequalities in fractional dimensions and extremal functions ⋮ Radial solutions of a nonlinear \(k\)-Hessian system involving a nonlinear operator ⋮ Supercritical Moser-Trudinger inequalities and related elliptic problems ⋮ Extremal functions for a supercritical \(k\)-Hessian inequality of Sobolev-type ⋮ Unnamed Item ⋮ Admissible solutions to Hessian equations with exponential growth ⋮ A supercritical Sobolev type inequality in higher order Sobolev spaces and related higher order elliptic problems ⋮ Classification and existence of positive entire \(k\)-convex radial solutions for generalized nonlinear \(k\)-Hessian system

Cites Work

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