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On a class of Kirchhoff equations involving an anisotropic operator and potential

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In this work, we are concerned with a class of fractional equations of Kirchhoff type with potential. Using variational methods and a variant of quantitative deformation lemma, we prove the… Click to show full abstract

In this work, we are concerned with a class of fractional equations of Kirchhoff type with potential. Using variational methods and a variant of quantitative deformation lemma, we prove the existence of a least energy sign-changing solution. Moreover, the existence of infinitely many solution is established.

Keywords: anisotropic operator; class kirchhoff; class; kirchhoff equations; involving anisotropic; equations involving

Journal Title: Arabian Journal of Mathematics
Year Published: 2020

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