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In this paper we consider the inhomogeneous nonlinear Schr\"odinger (INLS)equation \begin{align}\label{inls} i \partial_t u +\Delta u +|x|^{-b}|u|^{2\sigma}u = 0, \,\,\, x \in \mathbb{R}^N \end{align} with $N\geq 3$. Wefocus on the intercritical case, where the scaling invariant Sobolev index$s_c=\frac{N}{2}-\frac{2-b}{2\sigma}$ satisfies $0<s_c<1$. In a previous work,for radial initial data in $\dot H^{s_c}\cap \dot H^1$, we prove the existenceof blow-up solutions and also a lower bound for the blow-up rate. Here weextend these results to the non-radial case. We also prove an upper bound forthe blow-up rate and a concentration result for general finite time blow-upsolutions in $H^1$.

Blow-up solutions of the intercritical inhomogeneous NLS equation: the non-radial case