Liouville-type theorems for polyharmonic equations in $\mathbb{R}^N$ and in $\mathbb{R}^N_+$
From MaRDI portal
Publication:3520191
DOI10.1017/S0308210506000394zbMath1153.35028MaRDI QIDQ3520191
Publication date: 15 August 2008
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Related Items (25)
Liouville type theorem for some nonlocal elliptic equations ⋮ Liouville type theorem for nonlinear elliptic equation involving Grushin operators ⋮ Periodic solution for higher order prescribed curvature problem in a strip ⋮ A Liouville type theorem for poly-harmonic Dirichlet problems in a half space ⋮ Liouville type theorems for poly-harmonic Dirichlet problems of Hénon-Hardy type equations on a half space or a ball ⋮ Liouville type theorems for Hartree and Hartree-Fock equations ⋮ Radial solutions of a polyharmonic equation with power nonlinearity ⋮ Super poly-harmonic property of solutions for Navier boundary problems on a half space ⋮ A note on the existence of positive solutions for a fourth-order semilinear elliptic system ⋮ Pointwise bounds and blow-up for nonlinear polyharmonic inequalities ⋮ Liouville type theorem for nonlinear elliptic equation with general nonlinearity ⋮ Liouville type theorems for nonlinear elliptic equations on extended Grushin manifolds ⋮ Hardy-Sobolev type integral systems with Dirichlet boundary conditions in a half space ⋮ Liouville type theorems for two mixed boundary value problems with general nonlinearities ⋮ Liouville type theorems for PDE and IE systems involving fractional Laplacian on a half space ⋮ Isolated singularities of polyharmonic inequalities ⋮ Liouville-type theorems and decay estimates for solutions to higher order elliptic equations ⋮ Polyharmonic inequalities with nonlocal terms ⋮ Liouville-type theorems for integral and PDE systems with critical exponents in a half space ⋮ Positive supersolutions of fourth-order nonlinear elliptic equations: explicit estimates and Liouville theorems ⋮ Some nonexistence theorems for semilinear fourth-order equations ⋮ A Liouville-type theorem for an integral equation on a half-space \(\mathbb R_+^n\) ⋮ Nonexistence of Positive Supersolutions of Nonlinear Biharmonic Equations without the Maximum Principle ⋮ Liouville theorems for fractional and higher-order Hénon–Hardy systems on ℝn ⋮ Infinitely many sign-changing solutions of a critical fractional equation
This page was built for publication: Liouville-type theorems for polyharmonic equations in $\mathbb{R}^N$ and in $\mathbb{R}^N_+$