Results 21 to 30 of about 77 (48)

Multiplicity of solutions to discrete inclusions with the p(k)-Laplace type equations

open access: yesNonautonomous 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
doaj   +1 more source

Weak homoclinic solutions of anisotropic difference equation with variable exponents

open access: yesAdvances 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
semanticscholar   +1 more source

The Diagonalizable Nonnegative Inverse Eigenvalue Problem

open access: yesSpecial 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.
doaj   +1 more source

On differentiability of a class of orthogonally invariant functions on several operator variables

open access: yes, 2018
In this work, we study a connection between two classes of orthogonally invariant functions. Both types of functions are defined on Sn1 × . . .× Snk . The functions in the first class take their values in Sn1 ···nk , while those in the second take values
T. Jiang, Hristo S. Sendov
semanticscholar   +1 more source

A pathological example in nonlinear spectral theory

open access: yesAdvances in Nonlinear Analysis, 2017
We construct an open set Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} on which an eigenvalue problem for the p-Laplacian has no isolated first eigenvalue and the spectrum is not discrete.
Brasco Lorenzo, Franzina Giovanni
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On the block numerical range of operators on arbitrary Banach spaces

open access: yes, 2018
We investigate the block numerical range of bounded linear operators on arbitrary Banach spaces. We show that the spectrum of an operator is always contained in the closure of its block numerical range.
Agnes Radl, M. Wolff
semanticscholar   +1 more source

Principal spectral theory and asymptotic behavior of the spectral bound for partially degenerate nonlocal dispersal systems

open access: yesAdvanced Nonlinear Studies
The purpose of this paper is to investigate the principal spectral theory and asymptotic behavior of the spectral bound for cooperative nonlocal dispersal systems, specifically focusing on the case where partial diffusion coefficients are zero, referred ...
Zhang Lei
doaj   +1 more source

Symmetrization for Mixed Operators

open access: yesAnnales Mathematicae Silesianae
In this paper, we prove Talenti's comparison theorem for mixed local/nonlocal elliptic operators and derive the Faber–Krahn inequality for the first eigenvalue of the Dirichlet mixed local/nonlocal problem. Our findings are relevant to the fractional p&q–
Bahrouni Sabri
doaj   +1 more source

On the solvability of discrete nonlinear Neumann problems involving the p(x)-Laplacian

open access: yesAdvances in Difference Equations, 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.
Ouaro Stanislas   +2 more
doaj  

Matrix formulation for infinite-rank operators

open access: yes, 2012
Every finite-rank operator on a linear space X is the composition of an operator from X to a finite dimensional Euclidean space and of an operator from that Euclidean space to X .
B. V. Limaye
semanticscholar   +1 more source

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