Yazar "Sener, S. Sule" seçeneğine göre listele

Listeleniyor 1 - 2 / 2
  • Küçük Resim Yok
    Öğe
    Approximating Functions in the Power-Type Weighted Variable Exponent Sobolev Space by the Hardy Averaging Operator
    (Univ Nis, Fac Sci Math, 2022) Ayazoglu, Rabil; Ekincioglu, Ismail; Sener, S. Sule
    We investigate the problem of approximating function f in the power-type weighted variable exponent Sobolev space W-alpha(.)(r,p(.)) (0, 1), (r = 1, 2,...), by the Hardy averaging operator A (f) (x) = 1/x integral(x)(0) f (t)dt. If the function f lies in the power-type weighted variable exponent Sobolev space W-alpha(.)(r,p(.)) (0, 1), it is shown that parallel to A(f) - f parallel to(p(.),alpha(.)-rp(.)) <= C parallel to f((r))parallel to(p(.),alpha(.)') where C is a positive constant. Moreover, we consider the problem of boundedness of Hardy averaging operator A in power-type weighted variable exponent grand Lebesgue spaces Lp(alpha(.))(p(.),theta) (0, 1). The sufficient criterion established on the power-type weight function alpha(.) and exponent p(.) for the Hardy averaging operator to be bounded in these spaces.
  • Küçük Resim Yok
    Öğe
    Existence and multiplicity of solutions for a Schrodinger-Kirchhoff type equation involving the fractional p(.,.)-Laplacian operator in RN
    (Springer-Verlag Italia Srl, 2021) Ayazoglu, Rabil; Sarac, Yesim; Sener, S. Sule; Alisoy, Gulizar
    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.