Please use this identifier to cite or link to this item: https://doi.org/10.2140/pjm.2006.225.361
Title: Classification of solutions of certain fourth-order nonlinear elliptic equations in R{double-struck}4
Authors: Xingwang, X.U. 
Keywords: Conformally invariant equation
Moving sphere method
Symmetry
Issue Date: Jun-2006
Citation: Xingwang, X.U. (2006-06). Classification of solutions of certain fourth-order nonlinear elliptic equations in R{double-struck}4. Pacific Journal of Mathematics 225 (2) : 361-378. ScholarBank@NUS Repository. https://doi.org/10.2140/pjm.2006.225.361
Abstract: We consider the uniqueness of solutions of the equation Δ2 u = eu in fourdimensional Euclidean space. Our main result is that the solutions are all classical ones, provided that the energy of the solutions is finite and the diffusion of the solutions decays to zero at infinity. The method we used in this paper is known as the method of moving spheres.
Source Title: Pacific Journal of Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/102990
ISSN: 00308730
DOI: 10.2140/pjm.2006.225.361
Appears in Collections:Staff Publications

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