In this article, we study a class of divergence Schrödinger equations with intercritical inhomogeneous nonlinearity where 2 − n < b < 2, c ≥ b − 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.
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2023
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