Multiplicity of solutions to discrete inclusions with the p(k)-Laplace type equations
Nonautonomous Dynamical Systems, 2018 In this article, we prove the existence and multiplicity of solutions to discrete inclusions with the p(k)-Laplace type equations. We are interested in the existence of three solutions with the aid of linking arguments and using a three critical points ...
Ouaro Stanislas, Zoungrana Malick
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Optimal Design Problems for the First p-Fractional Eigenvalue with Mixed Boundary Conditions
Advanced Nonlinear Studies, 2018 In this paper, we study an optimal shape design problem for the first eigenvalue of the fractional p-Laplacian with mixed boundary conditions. The optimization variable is the set where the Dirichlet condition is imposed (that is restricted to have ...
Fernández Bonder Julian +2 more
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Precise homogenization rates for the Fučík spectrum [PDF]
, 2017 Given a bounded domain Ω in RN, N≥ 1 we study the homogenization of the weighted Fučík spectrum with Dirichlet boundary conditions. In the case of periodic weight functions, precise asymptotic rates of the curves are obtained.Fil: Salort, Ariel Martin ...
Salort, Ariel Martin
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MULTIPLICITY OF SOLUTIONS TO DISCRETE INCLUSIONS WITH THE p(k)-LAPLACE KIRCHHOFF TYPE EQUATIONS
, 2018 . This paper is concerned with the existence and multiplicity of solutions to discrete inclusions with an anisotropic discrete boundary value problem of p(k)-Laplace Kirchhoff type. Our technical approach is based on variational methods. 2010 Mathematics
S. Ouaro, Malick Zoungrana
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Weak homoclinic solutions to discrete nonlinear problems of Kirchhoff type with variable exponents
, 2017 In this paper, we prove the existence of weak homoclinic solutions for discrete nonlinear problems of Kirchhoff type. The proof of the main result is based on a minimization method. As extension, we prove the existence result of weak homoclinic solutions
A. Guiro, I. Ibrango, S. Ouaro
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Continuity results for parametric nonlinear singular Dirichlet problems
Advances in Nonlinear Analysis, 2019 In this paper we study from a qualitative point of view the nonlinear singular Dirichlet problem depending on a parameter λ > 0 that was considered in [32].
Bai Yunru +2 more
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A note on the implicit function theorem for quasi-linear eigenvalue problems
, 2011 We consider the quasi-linear eigenvalue problem $-\Delta_p u = \lambda g(u)$ subject to Dirichlet boundary conditions on a bounded open set $\Omega$, where $g$ is a locally Lipschitz continuous functions. Imposing no further conditions on $\Omega$ or $g$
Abreu +25 more
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On the solvability of discrete nonlinear Neumann problems involving the p(x)-Laplacian
, 2011 In this article, we prove the existence and uniqueness of solutions for a family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W. 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30; 34L05; 34L30.
A. Guiro, Ismael Nyanquini, S. Ouaro
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Estimates for the first eigenvalue for p-Laplacian with mixed boundary conditions
, 2018 In this article, we consider eigenvalue problems on domains with an interior hole. Precisely, we show a Cheng-type inequality on manifolds, and certain Faber-Krahn inequalities on space forms.
Kui Wang
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Weak homoclinic solutions of anisotropic difference equation with variable exponents
Advances in Differential Equations, 2012 In this paper, we prove the existence of homoclinic solutions for a family of anisotropic difference equations. The proof of the main result is based on a minimization method and a discrete Hölder type inequality. MSC:47A75, 35B38, 35P30, 34L05, 34L30.
A. Guiro, B. Kone, S. Ouaro
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