On a fractional advection dispersion equation in $$\mathbb{R}^N$$ involving a critical nonlinearity.(English)Zbl 1364.35011

Summary: In this paper, by using the variational principle of Ekeland, we prove the existence of at least one solution to the fractional advection dispersion equation in $$\mathbb{R}^N$$.

MSC:

 35A15 Variational methods applied to PDEs 34A08 Fractional ordinary differential equations 35B38 Critical points of functionals in context of PDEs (e.g., energy functionals)
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References:

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