Yazarlar

• Akbulut, Sezgin(1)
• Akkoyunlu, Ebubekir(1)
• Avci, M.(1)
• Ayazoglu, Rabil(1)
• Cekic, B.(1)
• Mashiyev, R. Ayazoglu(1)

• MakaleAçık Erişim2020Scopus SJRQ1/r/bayburt/12018
  Existence of multiple solutions of Schrödinger-Kirchhoff-type equations involving the p(.) -Laplacian in ℝN

  Ayazoglu, Rabil; Akbulut, Sezgin; Akkoyunlu, Ebubekir

  In this paper, we prove the existence of multiple solutions for the nonhomogeneous Schrödinger-Kirchhoff-type problem involving the p(.)-Laplacian (Formula presented.) where b≥0 is a constant, N ≥2, Δp(.)u:=div(|∇u|p(.)−2∇u) is the p(.)-Laplacian operator, (Formula presented.) is Lipschitz continuous, (Formula presented.) is a coercive type potential, (Formula presented.) and (Formula presented.) functions verifying suitable conditions. We propose different assumptions on the nonlinear term (Formula presented.) to yield bounded Palais-Smale sequences and then prove that the special sequences we found converge to critical points, respectively. The solutions are obtained by the Mountain Pass Theorem, Ekeland variational principle, and Krasnoselskii genus theory.

  AtıfScopus1·WoS1

  İncele
• MakaleAçık Erişim2013Scopus SJRQ3/r/bayburt/12457
  Existence of solutions for an elliptic equation with nonstandard growth

  Avci, M.; Mashiyev, R. Ayazoglu; Cekic, B.

  This paper deals with the existence of solutions for some elliptic equations with nonstandard growth under zero Dirichlet boundary condition. Using a direct variational method and the theory of the variable exponent Sobolev spaces, we set some conditions that ensures the existence of nontrivial weak solutions.

  AtıfScopus2·OpenAlex2

  İncele