On the non-vanishing property for real analytic solutions of the p-Laplace equation

نویسندگان

  • Vladimir Tkachev
  • VLADIMIR G. TKACHEV
چکیده

By using a nonassociative algebra argument, we prove that u ≡ 0 is the only cubic homogeneous polynomial solution to the p-Laplace equation div|Du|p−2Du(x) = 0 in Rn for any n ≥ 2 and p 6∈ {1, 2}.

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تاریخ انتشار 2016