Positivity of the infimum eigenvalue for equations of p(x)-Laplace type in RN
Boundary Value Problems, 2013 We study the following elliptic equations with variable exponents −div(ϕ(x,|∇u|)∇u)=λf(x,u)in RN. Under suitable conditions on ϕ and f, we show the existence of positivity of the infimum of all eigenvalues for the problem above, and then give an ...
I. Kim, Yun-Ho Kim
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Advances in Nonlinear Analysis, 2018 In this paper, we study optimal lower and upper bounds for functionals involving the first Dirichlet eigenvalue λF(p,Ω){\lambda_{F}(p,\Omega)} of the anisotropic p-Laplacian ...
Della Pietra Francesco +2 more
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Existence of an unbounded branch of the set of solutions for equations of p(x)-Laplace type
Boundary Value Problems, 2014 We are concerned with the following nonlinear problem −div(ϕ(x,|∇u|)∇u)=μ|u|p(x)−2u+f(λ,x,u,∇u)in Ω subject to Dirichlet boundary conditions, provided that μ is not an eigenvalue of the p(x)-Laplacian.
Yun-Ho Kim
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A multiplicity result for the scalar field equation
Advances in Nonlinear Analysis, 2014 We prove the existence of N - 1 distinct pairs of nontrivial solutions of the scalar field equation in ℝN under a slow decay condition on the potential near infinity, without any symmetry assumptions.
Perera Kanishka
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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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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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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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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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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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