A new Gagliardo-Nirenberg-type inequality is introduced and used to determine existence/nonexistence thresholds for mass-constrained fractional elliptic problems with singular potentials.
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A generalisation of the Gagliardo--Nirenberg Inequality with applications to mass-critical and mass-subcritical elliptic equations
A new Gagliardo-Nirenberg-type inequality is introduced and used to determine existence/nonexistence thresholds for mass-constrained fractional elliptic problems with singular potentials.