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Öğe Existence and multiplicity of solutions for p(.)-Kirchhoff-type equations(Tubitak Scientific & Technological Research Council Turkey, 2022) AyazoClu, Rabil; Akbulut, Sezgin; Akkoyunlu, EbubekirThis paper is concerned with the existence and multiplicity of solutions of a Dirichlet problem for p(.)- Kirchhoff-type equation {M(integral(Omega)vertical bar del vertical bar p(x)/p(x)dx) (-Delta(p(x))u) = f(x,u), in Omega, u = 0, on partial derivative Omega Using the mountain pass theorem, fountain theorem, dual fountain theorem and the theory of the variable exponent Sobolev spaces, under appropriate assumptions on f and M, we obtain results on existence and multiplicity of solutions.
