A local pointwise inequality for a biharmonic equation with negative exponents

DOI10.1088/1361-6544/ac9f9czbMath1504.35090arXiv2111.13294OpenAlexW4226451599MaRDI QIDQ5056802

Qi-Hua Ruan, Fan Chen, Jianqing Chen

Publication date: 8 December 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.13294

zbMATH Keywords

maximum principlebiharmonic equationpointwise inequality

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) Higher-order elliptic equations (35J30) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Cites Work

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• A pointwise inequality for the fourth-order Lane-Emden equation
• On De Giorgi's conjecture in dimension \(N\geq 9\)
• A note on nonlinear biharmonic equations with negative exponents
• The proof of the Lane-Emden conjecture in four space dimensions
• On a conjecture of De Giorgi and some related problems
• Classification of solutions of higher order conformally invariant equations
• A note on positive radial solutions of \(\Delta^2u+u^{-q}=0\) in \(\mathbf{R}^3\) with exactly quadratic growth at infinity.
• Positive supersolutions of fourth-order nonlinear elliptic equations: explicit estimates and Liouville theorems
• Nonlinear biharmonic equations with negative exponents
• Regularity of flat level sets in phase transitions
• Liouville type results and regularity of the extremal solutions of biharmonic equation with negative exponents
• The regularity and stability of solutions to semilinear fourth-order elliptic problems with negative exponents
• Remarks on Entire Solutions for Two Fourth-Order Elliptic Problems
• A gradient bound and a liouville theorem for nonlinear poisson equations
• Radial entire solutions to even order semilinear elliptic equations in the plane
• Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi
• A pointwise inequality for a biharmonic equation with negative exponent and related problems

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