Liouville theorems for stable radial solutions for the biharmonic operator
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Publication:3065121
DOI10.3233/ASY-2010-0997zbMath1210.35115OpenAlexW1695618282MaRDI QIDQ3065121
Publication date: 3 January 2011
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3233/asy-2010-0997
Stability in context of PDEs (35B35) Boundary value problems for higher-order elliptic equations (35J40) Semilinear elliptic equations (35J61) 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)
The fourth order elliptic problem with exponential nonlinearity ⋮ Stability for entire radial solutions to the biharmonic equation with negative exponents ⋮ The Gel'fand problem for the biharmonic operator ⋮ Further study of entire radial solutions of a biharmonic equation with exponential nonlinearity ⋮ Existence and stability of entire solutions to a semilinear fourth order elliptic problem ⋮ Radial symmetry of entire solutions of a bi-harmonic equation with exponential nonlinearity ⋮ Existence of stable solutions to \((-\Delta)^m u = e^u\) in \(\mathbb{R}^N\) with \(m\geq 3\) and \(N>2m\) ⋮ Radial symmetry of non-maximal entire solutions of a bi-harmonic equation with exponential nonlinearity ⋮ A priori estimates for semistable solutions of p-Laplace equations with general nonlinearity ⋮ Qualitative properties of Hénon type equations with exponential nonlinearity ⋮ Existence and stability properties of entire solutions to the polyharmonic equation \((-\Delta)^{m}u=e^{u}\) for any \(m\geq 1\)
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