Existence and multiplicity of solutions for a Schrödinger–Kirchhoff type equation involving the fractional p(.,.)-Laplacian operator in RN

• Autores: Rabil Ayazoglu, Yesim Sarac, S. Şule Şener, Gülizar Alisoy
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 72, Fasc. 1, 2021, págs. 129-156
• Idioma: inglés
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• Resumen

  • In this paper, by using variational approach, Mountain Pass Theorem and Krasnoselskii’s genus theory, we show the existence and multiplicity of solutions for a Schrödinger–Kirchhoff type equation involving the fractional p(.,.)-Laplacian in fractional Sobolev space with variable exponent. We also establish a Bartsch–Wang type compact embedding theorem for fractional Sobolev space with variable exponent.