Critical dimension of a Hessian equation involving critical exponent and a related asymptotic result

DOI10.1006/jdeq.1996.0112zbMath0864.35037OpenAlexW2043450194MaRDI QIDQ1923665

Shusen Yan, Di Geng, Kai-Seng Chou

Publication date: 15 June 1997

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

Full work available at URL: https://doi.org/10.1006/jdeq.1996.0112

zbMATH Keywords

asymptotic expansionnonlinear eigenvalue problemscritical dimensionHessian operator

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (19)

RADIAL SOLUTIONS FOR WEIGHTED SEMILINEAR EQUATIONS ⋮ A variational theory of the Hessian equation ⋮ Uniqueness theorems for negative radial solutions of \(k\)-Hessian equations in a ball ⋮ Existence for a \(k\)-Hessian equation involving supercritical growth ⋮ Global structure of admissible solutions for the \(k\)-Hessian equation on bounded domain ⋮ Existence and uniqueness of nontrivial radial solutions for \(k\)-Hessian equations ⋮ Asymptotic behaviour of Hessian equation with boundary blow up ⋮ Bifurcation and admissible solutions for the Hessian equation ⋮ Unilateral global interval bifurcation for the Hessian equation and its applications ⋮ Extremal for a \(k\)-Hessian inequality of Trudinger-Moser type ⋮ Uniqueness theorem for negative solutions of fully nonlinear elliptic equations in a ball ⋮ Three radially symmetric k-admissible solutions for k-Hessian equation ⋮ Characterization of ellipsoids through an overdetermined boundary value problem of Monge-Ampère type ⋮ New results of coupled system of \(k\)-Hessian equations ⋮ Existence and multiplicity for negative solutions of \(k\)-Hessian equations ⋮ Weighted eigenvalue problems for Hessian equations ⋮ Extremal functions for a supercritical \(k\)-Hessian inequality of Sobolev-type ⋮ Admissible solutions to Hessian equations with exponential growth ⋮ Uniqueness of radial solutions for a class of non-autonomous \(k\)-Hessian equations in a ball

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