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Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains. (English) Zbl 0741.35014
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)

MSC:
 35J65 Nonlinear boundary value problems for linear elliptic equations 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
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References:
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