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Concentration and multiplicity of solutions for fractional double phase problems

Concentration and multiplicity of solutions for fractional double phase problems

Abstract In the present paper, we consider the following fractional double phase problem with nonlocal reaction: \begin{align*} \qquad \quad \left\{ \begin{array}{lll} (- \Delta)_p^s u + (- \Delta)_q ^s u + V(\varepsilon x) (|u|^{p - 2} u + |u|^{q - 2} u) = \left(\frac{1}{|x|^\mu} * F(u)\right) f(u) & \ \text{in}\ \mathbb{R}^N, …