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Classification of solutions of some nonlinear elliptic equations. (English) Zbl 0768.35025
The paper concerns the equations $$\Delta u+u^ p=0$$, $$x\in\mathbb{R}^ n$$, $$n\geq 3$$, and $$\Delta u+\exp u=0$$, $$x\in\mathbb{R}^ 2$$, $$\int_{\mathbb{R}^ 2} \exp u(x)dx<\infty$$.

##### MSC:
 35J60 Nonlinear elliptic equations 35C05 Solutions to PDEs in closed form
##### Keywords:
uniqueness; symmetry properties
Full Text:
##### References:
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