ABSTRACT
As usual, for the higher-order model (81) with m ≥ 2, we first study the existence and multiplicity of the standard global (i.e., well defined for all t > 0) similarity solutions of the form
uS(x, t) = t − 1p−1 f(y), where y = x/t
This leads to a semilinear elliptic problem in IRN for the rescaled profile f :
{ B1f + |f |p ≡ −(−Δ)mf + 12m y · ∇f + 1p−1 f + |f |p = 0, f(y) decays exponentially fast as |y| → ∞.
