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Existence and Boundedness of Solutions for Systems of Quasilinear Elliptic Equations
This article sets forth results on the existence and boundedness of solutions for quasilinear elliptic systems involving p -Laplacian and q -Laplacian...
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Pseudo-orthogonality for graph 1-Laplacian eigenvectors and applications to higher Cheeger constants and data clustering
The data clustering problem consists in dividing a data set into prescribed groups of homogeneous data. This is an NP-hard problem that can be...
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Calculation of Spectral Characteristics of Perturbed Self-Adjoint Operators by Methods of Regularized Traces
We discuss basic theoretical principles underlying new numerical methods of calculation of eigenvalues and eigenfunctions of discrete operators...
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Nonsmooth critical point theory and applications to the spectral graph theory
Existing critical point theories including metric and topological critical point theories are difficult to be applied directly to some concrete...
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Non-orthogonal Fusion Frames of an Analytic Operator and Application to a One-Dimensional Wave Control System
In this paper, we are mainly concerned with a one-dimensional wave control system. We assert the existence of non-orthogonal fusion frames by...
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The First Eigenvalue of the Kohn–Laplace Operator in the Heisenberg Group
In this paper, by extending the notions of harmonic transplantation and harmonic radius in the Heisenberg group, we give an upper bound for the first...
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Enclosure of the Numerical Range of a Class of Non-selfadjoint Rational Operator Functions
In this paper we introduce an enclosure of the numerical range of a class of rational operator functions. In contrast to the numerical range the...
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Existence results for degenerate p(x)-Laplace equations with Leray-Lions type operators
We show the existence and multiplicity of solutions to degenerate p ( x )-Laplace equations with Leray-Lions type operators using direct methods and...
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Multiple Solutions for Systems of Sturm–Liouville Boundary Value Problems
In this paper, the authors discuss the existence of multiple solutions to a class of second-order Sturm–Liouville boundary value systems. Their...
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Spectral Radii and Collatz–Wielandt Numbers for Homogeneous Order-preserving Maps and the Monotone Companion Norm
It is well known that an ordered normed vector space X with normal cone X+ has an order-preserving norm that is equivalent to the original norm. Such...
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On the spectrum of a Baouendi–Grushin type operator: an Orlicz–Sobolev space setting approach
We show that the spectrum of a nonhomogeneous Baouendi–Grushin type operator subject with a homogeneous Dirichlet boundary condition is exactly the...
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A preconditioning method of the CQ algorithm for solving an extended split feasibility problem
In virtue of preconditioning technology, we propose a preconditioning CQ algorithm for an extend split feasibility problem (ESFP). Comparing with the...
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Infinitely Many Solutions for Systems of Sturm–Liouville Boundary Value Problems
In this paper, the authors obtain the existence of infinitely many classical solutions to the boundary value system with Sturm–Liouville boundary...
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Some global results for nonlinear fourth order eigenvalue problems
In this paper, we consider the nonlinear fourth order eigenvalue problem. We show the existence of family of unbounded continua of nontrivial...