Radial symmetry of non-maximal entire solutions of a bi-harmonic equation with exponential nonlinearity

DOI10.1017/prm.2018.49zbMath1437.35389OpenAlexW2914137471WikidataQ115563595 ScholiaQ115563595MaRDI QIDQ5213168

Zongming Guo, FangShu Wan, Hongxia Guo

Publication date: 31 January 2020

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/prm.2018.49

zbMATH Keywords

exponential nonlinearitybi-harmonic equationradial symmetry of entire solutions

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Entire solutions to PDEs (35B08) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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Cites Work

• Existence and stability of entire solutions to a semilinear fourth order elliptic problem
• Entire solutions for a semilinear fourth order elliptic problem with exponential nonlinearity
• Symmetry properties in systems of semilinear elliptic equations
• Classification of solutions of higher order conformally invariant equations
• A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
• A note on a class of higher order conformally covariant equations
• Symmetry of positive solutions of \(\Delta u + u^ p = 0\) in \(\mathbf R^ n\)
• Radial symmetry of entire solutions of a bi-harmonic equation with exponential nonlinearity
• The Gel'fand problem for the biharmonic operator
• Further study of entire radial solutions of a biharmonic equation with exponential nonlinearity
• Liouville theorems for stable radial solutions for the biharmonic operator
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