Yazarlar

• Ayazoglu, Rabil(2)
• Akbulut, Sezgin(1)
• Akkoyunlu, Ebubekir(1)
• Alisoy, Gulizar(1)
• Aydin, Tuba Agirman(1)
• Naghizadeh, Zohreh(1)

• MakaleAçık Erişim2025Scopus SJRQ2/r/bayburt/12782
  Existence of solutions for anisotropic parabolic Ni-Serrin type equations originated from a capillary phenomena with nonstandard growth nonlinearity

  Ayazoglu, Rabil; Akkoyunlu, Ebubekir; Naghizadeh, Zohreh

  We consider an initial boundary value problem for a class of anisotropic parabolic Ni-Serrin type equations with nonstandard nonlinearity in a bounded smooth domain with homogeneous Dirichlet boundary condition. Because the nonlinear perturbation leads to difficulties (it does not have a definite sign) in obtaining a priori estimates in the energy method, we had to modify the Tartar method significantly. Under suitable assumptions, we obtain the global existence, decay and extinction of solutions.

  AtıfWoS1·OpenAlex1

  İncele
• MakaleAçık Erişim2024Scopus SJRQ3/r/bayburt/12954
  Existence and extinction of solutions for parabolic equations with nonstandard growth nonlinearity

  Ayazoglu, Rabil; Alisoy, Gulizar; Akbulut, Sezgin; Aydin, Tuba Agirman

  In this paper, we consider an initial boundary value problem for a class of p(·)-Laplacian parabolic equation with nonstandard nonlinearity in a bounded domain. By using new approach, we obtain the global and decay of existence of the solutions. Moreover, the precise decay estimates of solutions before the occurrence of the extinction are derived.

  AtıfScopus1·WoS1·OpenAlex1

  İncele