Results 21 to 30 of about 477 (64)
An inverse problem related to a half-linear eigenvalue problem
Boundary Value Problems, 2014 We study an inverse problem on the half-linear Dirichlet eigenvalue problem −(|y′(x)|p−2y′(x))′=(p−1)λr(x)|y(x)|p−2y(x), where p>1 with p≠2 and r is a positive function defined on [0,1].
Wei-Chuan Wang, Yan-Hsiou Cheng
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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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The "hot spots" conjecture on the Vicsek set
Demonstratio Mathematica, 2019 We prove the “hot spots” conjecture on the Vicsek set. Specifically, we will show that every eigenfunction of the second smallest eigenvalue of the Neumann Laplacian on the Vicsek set attains its maximum and minimum on the boundary.
Ionescu Marius, Savage Thomas L.
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A Spectral Gap Estimate and Applications
, 2017 We consider the Schr\"odinger operator $$-\frac{d^2}{d x^2} + V \qquad \mbox{on an interval}~~[a,b]~\mbox{with Dirichlet boundary conditions},$$ where $V$ is bounded from below and prove a lower bound on the first eigenvalue $\lambda_1$ in terms of ...
Georgiev, Bogdan +2 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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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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Szegö limit theorems for operators with almost periodic diagonals. [PDF]
, 2006 The classical Szego theorems study the asymptotic behaviour of the determinants of the finite sections PnT(a)Pn of Toeplitz operators, i.e., of operators which have constant entries along each diagonal. We generalize these results to operators which have
S. Roch, B. Silbermann
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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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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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The Diagonalizable Nonnegative Inverse Eigenvalue Problem
Special Matrices, 2018 In this articlewe provide some lists of real numberswhich can be realized as the spectra of nonnegative diagonalizable matrices but which are not the spectra of nonnegative symmetric matrices.
Cronin Anthony G, Laffey Thomas J.
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