Yazarlar

• Ayazoglu, Rabil(2)
• Akkoyunlu, Ebubekir(1)
• Alisoy, Gulizar(1)
• Alisoy, Gülizar(1)
• Ayazoglu Mashiyev, Rabil(1)
• Ekincioglu, Ismail(1)
• Saraç, Yeşim(1)
• Şener, S. Şule(1)

• MakaleAçık Erişim2021Scopus SJRQ1/r/bayburt/12179
  Existence and multiplicity of solutions for a Schrödinger–Kirchhoff type equation involving the fractional p(. ,.) -Laplacian operator in RN

  Ayazoglu, Rabil; Saraç, Yeşim; Şener, S. Şule; Alisoy, Gülizar

  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.

  AtıfScopus21·WoS22·OpenAlex22

  İncele
• MakaleAçık Erişim2019Scopus SJRQ3/r/bayburt/12034
  Infinitely many solutions for the stationary fractional p -Kirchhoff problems in RN

  Akkoyunlu, Ebubekir; Ayazoglu, Rabil

  In the present paper, we investigate the existence of multiple solutions for the nonhomogeneous fractional p-Kirchhoff equation M(∬R2N|u(x)-u(y)|p|x-y|N+psdxdy+∫RNV(x)|u|pdx)×((-Δ)psu+V(x)|u|p-2u)=f(x,u)inRN,where (-Δ)ps is the fractional p-Laplacian operator, 0 < s< 1 < p< ∞ with sp< N, M:R0+→R0+ is a nonnegative, continuous and increasing Kirchhoff function, the nonlinearity f: RN× R→ R is a Carathéodory function that obeys some conditions which will be stated later and V∈ C(RN, R+) is a non-negative potential function. We first establish the Bartsch–Pankov–Wang type compact embedding theorem for the fractional Sobolev spaces. Then multiplicity results are obtained by using the variational method, (S+) mapping theory and Krasnoselskii’s genus theory.

  AtıfScopus4·WoS4

  İncele
• MakaleAçık Erişim2017Scopus SJRQ3/r/bayburt/12526
  Multiple small solutions for p(x)-Schrödinger equations with local sublinear nonlinearities via genus theory

  Ayazoglu Mashiyev, Rabil; Ekincioglu, Ismail; Alisoy, Gulizar

  In this paper, we deal with the following p(x)-Schrödinger problem: (Formula Presented) where the nonlinearity is sublinear. We present the existence of infinitely many solutions for the problem. The main tool used here is a variational method and Krasnoselskii’s genus theory combined with the theory of variable exponent Sobolev spaces. We also establish a Bartsch-Wang type compact embedding theorem for the variable exponent spaces.

  AtıfScopus7·WoS7·OpenAlex4

  İncele