In this article, we study a class of divergence Schrödinger equations with intercritical inhomogeneous nonlinearity itu+(|x|bu)=|x|c|u|pu,(x,t)Rn×R, where 2 − n < b < 2, cb − 2, and 2(2 − b) − bp < np − 2c < (2 − b)(p + 2). We prove the blow-up of radial solutions for the negative energy by using a virial-type estimate. In addition, we derive a generalized Gagliardo–Nirenberg inequality and use it to establish the general blow-up criteria for radial solutions with non-negative energy.

You do not currently have access to this content.