 Coercivity below the NLS ground-state mass

ID: coercivity-below-the-nls-ground-state-mass

The sharp inequality implies

E (u) \geq \frac{1}{2} ∥\nabla u ∥_{2}^{2} [1 - (\frac{∥ u ∥ _{2}}{∥ Q ∥ _{2}})^{4/ d}] .

Thus energy controls the gradient whenever the mass is strictly below the mass of the NLS ground state.

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