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This paper is concerned with the following fractional Schrödinger equations involving critical exponents: ▫$$(-\Delta)^\alpha u + V(x)u = k(x)f(u) + \lambda|u|^{2_\alpha^\ast-2}u \quad \text{in} \; \mathbb{R}^N,$$▫ where ▫$(-\Delta)^\alpha$▫ is the fractional Laplacian operator with ▫$\alpha \in (0, ...

We study the existence and multiplicity of solutions for a class of fractional Schrödinger-Kirchhoff type equations with the Trudinger-Moser nonlinearity. More precisely, we consider ▫$$\begin{cases} M(\|u\|^{N/s}) \Big[ (-\Delta)_{N/s}^s u + V(x)|u|^{\frac{N}{s}-1}u \Big]= f(x,u) + \lambda h(x)|u|^ ...

In this paper, we consider the fractional Schrödinger-Kirchhoff equations with electromagnetic fields and critical nonlinearity ▫$$\begin{cases} \varepsilon^{2s}M([u]^2_{s, A_{\varepsilon}})(-\Delta)^s_{A_\varepsilon} u + V(x)u = |u|^{{2^\ast_s}-2}u + h(x, |u|^2)u, \quad x \in \mathbb{R}^N ,\\ u(x) ...

In this paper, we are concerned with the existence and multiplicity of solutions for the fractional Choquard-type Schrödinger-Kirchhoff equations with electromagnetic fields and critical nonlinearity: ▫$$\begin{cases} \varepsilon^{2s} N([u]^2_{s,A}) (-\Delta)^s_A u + V(x)u = (|x|^{-\alpha} \ast F(|u ...