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Multiplicity result for non-homogeneous fractional Schrodinger--Kirchhoff-type equations in ℝ<sup> <i>n</i> </sup>

Multiplicity result for non-homogeneous fractional Schrodinger--Kirchhoff-type equations in ℝ<sup> <i>n</i> </sup>

Abstract In this paper we consider the existence of multiple solutions for the non-homogeneous fractional p -Laplacian equations of Schrödinger–Kirchhoff type <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mrow> <m:mrow> <m:mi>M</m:mi> <m:mo>⁢</m:mo> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:msub> <m:mo>∫</m:mo> <m:msup> <m:mi>ℝ</m:mi> <m:mi>n</m:mi> </m:msup> </m:msub> <m:mrow> <m:msub> <m:mo>∫</m:mo> <m:msup> <m:mi>ℝ</m:mi> <m:mi>n</m:mi> </m:msup> </m:msub> <m:mrow> <m:mpadded> <m:mfrac> <m:msup> …