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Infinitely many solutions of fractional Schrödinger–Maxwell equations

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In this article, we investigate the existence of infinitely many solutions to the 3D fractional Schrodinger–Maxwell equations (−Δ)su + V(x)u + ϕu = λf(x, u), (−Δ)sϕ = u2, where 0… Click to show full abstract

In this article, we investigate the existence of infinitely many solutions to the 3D fractional Schrodinger–Maxwell equations (−Δ)su + V(x)u + ϕu = λf(x, u), (−Δ)sϕ = u2, where 0 < s < 1, λ is a real parameter, and (−Δ)s is the fractional Laplacian via the variational methods and abstract critical point theory. In particular, we do not use the classical Ambrosetti–Rabinowitz condition.

Keywords: fractional schr; solutions fractional; many solutions; infinitely many; maxwell equations; schr dinger

Journal Title: Journal of Mathematical Physics
Year Published: 2021

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