Qualitative properties and standard estimates of solutions for some fourth order elliptic equations

DOI10.1216/RMJ-2014-44-3-975zbMath1305.35044OpenAlexW2052700266MaRDI QIDQ457955

Kaisheng Liu, Ruichang Pei

Publication date: 30 September 2014

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1411945674

zbMATH Keywords

asymptotic behaviora priori estimates\(Q\)-curvatureelliptic equations of fourth order

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Higher-order elliptic equations (35J30)

Cites Work

• Unnamed Item
• Prescribing \(Q\)-curvature problem on \(S^n\)
• Classification of solutions to the higher order Liouville's equation on \({\mathbb{R}^{2m}}\)
• Classification of solutions of some nonlinear elliptic equations
• Classification of solutions of higher order conformally invariant equations
• Qualitative properties of solutions to some nonlinear elliptic equations in \(\mathbb{R}^2\)
• A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
• Uniqueness and non-existence theorems for conformally invariant equations
• Classification of solutions of certain fourth-order nonlinear elliptic equations in \(\mathbb R^4\)
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Asymptotic behavior of a nonlinear fourth order eigenvalue problem

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