Constructing soliton and kink solutions of PDE models in transport and biology.

Vladimirov, Vsevolod A.; Kutafina, Ekaterina V.; Pudelko, Anna

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On the uniqueness of ground states of non-local equations

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We review our joint result with E. Lenzmann about the uniqueness of ground state solutions of non-linear equations involving the fractional Laplacian and provide an alternate uniqueness proof for an equation related to the intermediate long-wave equation.