Li, Congming Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains. (English) Zbl 0741.35014 Commun. Partial Differ. Equations 16, No. 4-5, 585-615 (1991). The author introduces a new approach for studying the monotonicity and symmetry in one direction of positive \(C^ 2\) solutions of the following fully nonlinear elliptic equation \(F(x,u,u_ i,u_{ij})=0\) in \(\mathbb{R}^ n\), \(| u(x)| +| Du| +| D^ 2u|\to 0\) uniformly as \(| x| \to \infty\). Reviewer: V.Mustonen (Oulu) Cited in 1 ReviewCited in 73 Documents MSC: 35J65 Nonlinear boundary value problems for linear elliptic equations 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs PDF BibTeX XML Cite \textit{C. Li}, Commun. Partial Differ. Equations 16, No. 4--5, 585--615 (1991; Zbl 0741.35014) Full Text: DOI References: [1] Agmond S., Comm Pure Appl. math. 16 pp 121– (1963) · Zbl 0117.10001 · doi:10.1002/cpa.3160160204 [2] Berestycki H., preprint [3] Carig W., Comm. P.D.E. 13 (5) (1988) [4] Gidas B., Comm. Math. Phys. 68 (5) pp 209– (1979) · Zbl 0425.35020 · doi:10.1007/BF01221125 [5] Gidas b., Math. Anal. and Applications, Part A, Advances in Math. Suppl. Studies Academic Pr. 7 pp 369– (1981) [6] Li C., Part I, Bounded Domain [7] Pazy A., Arch. Ratťl. Math. Anal. 24 (5) pp 193– (1967) · Zbl 0147.12303 · doi:10.1007/BF00281343 [8] Serrin J., Arch. Raťl. math. Anal 43 (5) pp 304– (1971) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.