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Yamabe equations on half-spaces. (English) Zbl 0941.35025

The authors consider the Yamabe problem on \(\mathbb{R}^n_+\) and give a condition for the existence of a minimal positive solution of the form \(u(x)=u(|x'|,x_n)\).

MSC:

35J60 Nonlinear elliptic equations
35B33 Critical exponents in context of PDEs
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