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Makale Tam Makale Uluslararası 2021

Existence and multiplicity of solutions for a Schrodinger-Kirchhoff type equation involving the fractional p(.,.)-Laplacian operator in R-N

Rabil Ayazoğlu, Yeşim Akbulut, Sıdıka Şule Şener Kılıç, Gulizar Alisoy

COLLECTANEA MATHEMATICA Cilt 72 · Sayı 1 · ss. 129–156 · 01.01.2021
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Özet

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 Schrodinger-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.

Anahtar kelimeler

Fractional Sobolev space with variable exponent Fractional p(. .)-Laplacian operator Schrodinger-Kirchhoff type equations Mountain pass theorem Krasnoselskii's genus ELLIPTIC PROBLEMS P-LAPLACIAN P(X)-LAPLACIAN SPACES

Sürdürülebilir Kalkınma Amaçları

  • SKA 15: Karasal Yaşam

Atıf için künye

Ayazoğlu, R., Akbulut, Y., Şener Kılıç, S. Ş., & Alisoy, G. (2021). Existence and multiplicity of solutions for a Schrodinger-Kirchhoff type equation involving the fractional p(.,.)-Laplacian operator in R-N. COLLECTANEA MATHEMATICA, 72(1), 129–156. https://doi.org/10.1007/s13348-020-00283-5

BibTeX 
@article{ayazoglu2021-57454,
  author = {Ayazoğlu, Rabil and Akbulut, Yeşim and Şener Kılıç, Sıdıka Şule and Alisoy, Gulizar},
  title = {Existence and multiplicity of solutions for a Schrodinger-Kirchhoff type equation involving the fractional p(.,.)-Laplacian operator in R-N},
  journal = {COLLECTANEA MATHEMATICA},
  year = {2021},
  volume = {72},
  number = {1},
  pages = {129--156},
  issn = {0010-0757},
  doi = {10.1007/s13348-020-00283-5},
  url = {https://akademik.atauni.edu.tr/yayinlar/57454-existence-and-multiplicity-of-solutions-for-a-schrodinger-kirchhoff-type}
}