Liouville type theorem for higher order Hénon equations on a half space

DOI10.1016/j.na.2019.01.033zbMath1418.35053OpenAlexW2916579134MaRDI QIDQ2424014

Yang Zhang, Wei Dai, Guolin Qin

Publication date: 21 June 2019

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2019.01.033

zbMATH Keywords

nonnegative solutionsNavier problemsmethod of scaling spheres in integral forms

Mathematics Subject Classification ID

Higher-order elliptic equations (35J30) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (13)

Liouville type theorem for critical order Hénon-Lane-Emden type equations on a half space and its applications ⋮ 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 ⋮ Liouville type theorems for poly-harmonic Dirichlet problems of Hénon-Hardy type equations on a half space or a ball ⋮ Liouville theorem for poly-harmonic functions on \(\mathbb{R}^n_+ \) ⋮ Liouville-type theorems for fractional Hardy-Hénon systems ⋮ Liouville theorems for nonnegative solutions to static weighted Schrödinger-Hartree-Maxwell type equations with combined nonlinearities ⋮ Liouville type theorems for fractional and higher-order fractional systems ⋮ 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 ⋮ Super poly-harmonic properties, Liouville theorems and classification of nonnegative solutions to equations involving higher-order fractional Laplacians ⋮ Liouville theorems for fractional and higher-order Hénon–Hardy systems on ℝⁿ

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