A Liouville type theorem for polyharmonic elliptic systems
The author deals with the following polyharmonic system \[ (-\Delta_x)^m u= v^q\quad\text{in }\mathbb{R}^N,\qquad (-\Delta_x)^m v= u^p\quad\text{in }\mathbb{R}^N.\tag{1} \] The author is mainly interested in the range of exponents \(p\), \(q> 0\) in (1), for which there are no positive classical solution.
scientific article; zbMATH DE number 5083595
scientific article