Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains

DOI10.1016/j.jde.2020.05.026zbMath1441.35083arXiv1901.00412OpenAlexW2908368074MaRDI QIDQ2189803

Guolin Qin, Wei Dai

Publication date: 16 June 2020

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

Full work available at URL: https://arxiv.org/abs/1901.00412

zbMATH Keywords

nonnegative solutionsHardy-Hénon type equationsthe method of scaling spheres

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 (11)

On properties of positive solutions to nonlinear tri-harmonic and bi-harmonic equations with negative exponents ⋮ 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 ⋮ Maximum principles involving the uniformly elliptic nonlocal operator ⋮ 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 ⋮ A direct method of moving planes for fully nonlinear nonlocal operators and applications ⋮ Liouville theorems for nonnegative solutions to Hardy-Hénon type system on a half space ⋮ Nonexistence of positive solutions to \(n\)-th order equations in \(\mathbb{R}^n\) ⋮ 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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