Liouville type theorem for critical order Hénon-Lane-Emden type equations on a half space and its applications

DOI10.1016/J.JFA.2021.109227zbMath1473.35082arXiv1811.00881OpenAlexW2944575764MaRDI QIDQ820522

Wei Dai, Guolin Qin

Publication date: 27 September 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.00881

zbMATH Keywords

a priori estimatesLiouville theoremscritical orderHénon-Lane-Emden type equations

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) A priori estimates in context of PDEs (35B45) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (11)

Classification of solutions to mixed order conformally invariant systems in \({\mathbb{R}}^2\) ⋮ On properties of positive solutions to nonlinear tri-harmonic and bi-harmonic equations with negative exponents ⋮ Liouville-type theorems for higher-order Lane–Emden system in exterior domains ⋮ Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains ⋮ Classification of Solutions to Conformally Invariant Systems with Mixed Order and Exponentially Increasing or Nonlocal Nonlinearity ⋮ Liouville type theorems for poly-harmonic Dirichlet problems of Hénon-Hardy type equations on a half space or a ball ⋮ Liouville theorems for nonnegative solutions to Hardy-Hénon type system on a half space ⋮ Classification of nonnegative solutions to static Schrödinger-Hartree and Schrödinger-Maxwell Equations with combined nonlinearities ⋮ Nonexistence of positive solutions to \(n\)-th order equations in \(\mathbb{R}^n\) ⋮ Liouville theorems for fractional and higher-order Hénon–Hardy systems on ℝⁿ ⋮ Existence of solutions to fractional elliptic equation with the Hardy potential and concave-convex nonlinearities

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