A sup \(+\) inf inequality near \(R=0\)

DOI10.1016/j.aim.2008.09.005zbMath1157.35364OpenAlexW2085145029MaRDI QIDQ957980

Wenxiong Chen, Congming Li

Publication date: 2 December 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2008.09.005

zbMATH Keywords

semilinear elliptic equationsasymptotic behavior of solutionsmethod of moving spheressup \(+\) inf inequalities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

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Cites Work

• Unnamed Item
• Unnamed Item
• A priori estimate for the Nirenberg problem
• Liouville-type results for semilinear elliptic equations in unbounded domains
• A sharp sup+inf inequality for a nonlinear elliptic equation in \(\mathbb{R}^2\)
• Classification of solutions of some nonlinear elliptic equations
• Qualitative properties of solutions to some nonlinear elliptic equations in \(\mathbb{R}^2\)
• The scalar curvature equation on 2- and 3-spheres
• A sup+inf inequality for some nonlinear elliptic equations involving exponential nonlinearities
• A priori estimates for prescribing scalar curvature equations
• Moving planes, moving spheres, and a priori estimates.
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Gaussian curvature in the negative case