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Öğe Existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian operator(Univ Szeged, Bolyai Institute, 2011) Mashiyev, Rabil; Yucedag, Zehra; Ogras, SezginIn the present paper, using the three critical points theorem and variational method, we study the existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian operator.Öğe EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A p(x)-KIRCHHOFF TYPE EQUATION WITH STEKLOV BOUNDARY(Univ Miskolc Inst Math, 2024) Yucedag, ZehraIn this paper we study a class of p ( x ) -Kirchhoff type problem with Steklov boundary value in variable exponent Sobolev spaces. Precisely, we show the existence of at least three solutions and a nontrivial weak solution.Öğe Existence and multiplicity of solutions for p(x) - Kirchhoff-type problem(Univ Craiova, 2017) Yucedag, ZehraIn the present paper, by using the Mountain Pass theorem and the Fountain theorem, we obtain the existence and multiplicity of solutions to a class of p(x)-Kirchhofftype problem under Dirichlet boundary condition.Öğe Existence of Solutions p(x) for Laplacian Equations Without Ambrosetti-Rabinowitz Type Condition(Springernature, 2015) Yucedag, ZehraThis paper investigates the existence and multiplicity of solutions for superlinear p(x) -Laplacian equations with Dirichlet boundary conditions. Under no Ambrosetti-Rabinowitz's superquadraticity conditions, we obtain the existence and multiplicity of solutions using a variant Fountain theorem without Palais-Smale type assumptions.Öğe INFINITELY MANY SOLUTIONS FOR A p(x)-KIRCHHOFF TYPE EQUATION WITH STEKLOV BOUNDARY VALUE(Univ Miskolc Inst Math, 2022) Yucedag, ZehraIn the present article deal with the existence and multiplicity of solutions to a class of p(x)-Kirchhoff type problem with Steklov boundary-value. By variational approach and the-ory of the variable exponent Sobolev spaces, under appropriate assumptions on f, we obtain existence of infinitely solutions and at least one nontrivial weak solution.Öğe THE NEHARI MANIFOLD APPROACH FOR DIRICHLET PROBLEM INVOLVING THE p(x)-LAPLACIAN EQUATION(Korean Mathematical Soc, 2010) Mashiyev, Rabil A.; Ogras, Sezai; Yucedag, Zehra; Avci, MustafaIn this paper, using the Nehari manifold approach and some variational techniques, we discuss the multiplicity of positive solutions for the p(x)-Laplacian problems with non-negative weight functions and prove that an elliptic equation has at least two positive solutions.Öğe On an Elliptic System of p(x)-Kirchhoff-Type under Neumann Boundary Condition(Vilnius Gediminas Tech Univ, 2012) Yucedag, Zehra; Avci, Mustafa; Mashiyev, RabilIn the present paper, by using the direct variational method and the Ekeland variational principle, we study the existence of solutions for an elliptic system of p(x)-Kirchhoff-type under Neumann boundary condition and show the existence of a weak solution.Öğe SOLUTIONS FOR A DISCRETE BOUNDARY VALUE PROBLEM INVOLVING KIRCHHOFF TYPE EQUATION VIA VARIATIONAL METHODS(Turkic World Mathematical Soc, 2018) Yucedag, ZehraIn this paper, Mountain Pass theorem is applied together with Ekeland variational principle, and we show the existence of nontrivial solutions for a discrete boundary value problem of p (k)-Kirchhoff-type in a finite dimensional Hilbert space.Öğe Solutions of nonlinear problems involving p(x)-Laplacian operator(Walter De Gruyter Gmbh, 2015) Yucedag, ZehraIn the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p(x)-Laplacian. The problem is settled in the variable exponent Sobolev space W-0(1, p(x)) (Omega), and the main tools are the Mountain-Pass theorem and Fountain theorem.Öğe Variational approach for a Steklov problem involving nonstandard growth conditions(Amer Inst Mathematical Sciences-Aims, 2023) Yucedag, ZehraThe aim of this paper is to study the multiplicity of solutions for a nonlocal p(x)-Kirchhoff type problem with Steklov boundary value in variable exponent Sobolev spaces. We prove the existence of at least three solutions and a nontrivial weak solution of the problem, using the Ricceri's three critical points theorem together with Mountain Pass theorem.
