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On the optimality and decay of p-Hardy weights on graphs
We construct optimal Hardy weights to subcritical energy functionals h associated with quasilinear Schrödinger operators on infinite graphs. Here,...
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On the Expansion of Resolvents and the Integrated Density of States for Poisson Distributed Schrödinger Operators
We consider a Schrödinger operator with random potential distributed according to a Poisson process. We show that under a uniform moment bound...
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Second-order optimality conditions for set-valued optimization problems under the set criterion
This paper investigates second-order optimality conditions for general constrained set-valued optimization problems in normed vector spaces under the...
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Convex Predictor–Nonconvex Corrector Optimization Strategy with Application to Signal Decomposition
Many tasks in real life scenarios can be naturally formulated as nonconvex optimization problems. Unfortunately, to date, the iterative numerical...
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Global Well-Posedness and Exponential Decay of Strong Solution to the Three-Dimensional Nonhomogeneous Bénard System with Density-Dependent Viscosity and Vacuum
In this paper, we are concerned with the three-dimensional nonhomogeneous Bénard system with density-dependent viscosity in bounded domain. The...
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Existence of Nontrivial Solutions to a Critical Fourth-Order Kirchhoff Type Elliptic Equation
In this paper, a critical fourth-order Kirchhoff type elliptic equation with a subcritical perturbation is studied. The main feature of this problem...
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The Null Controllability of Transmission Wave-Schrödinger System with a Boundary Control
This paper is devoted to investigate the null controllability of the transmission wave-Schrödinger system with only one boundary control. The domain...
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Tropical convexity in location problems
We investigate location problems where the optimal solution is found within the tropical convex hull of the given input points. Our initial focus is...
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On solving a rank regularized minimization problem via equivalent factorized column-sparse regularized models
Rank regularized minimization problem is an ideal model for the low-rank matrix completion/recovery problem. The matrix factorization approach can...
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On Necessary Optimality Conditions for Sets of Points in Multiobjective Optimization
Taking inspiration from what is commonly done in single-objective optimization, most local algorithms proposed for multiobjective optimization extend...
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On the Differentiation of Integrals in Measure Spaces Along Filters: II
Let X be a complete measure space of finite measure. The Lebesgue transform of an integrable function f on X encodes the collection of all the...
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Singular value inequalities for submultiplicative and subadditive functions of matrices
We prove new singular value inequalities involving submultiplicative and subadditive functions of matrices. Singular value inequalities for sums and...
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Discrete-time stop** games with risk-sensitive discounted cost criterion
In this paper, we focus on the discrete-time stop** games under the risk-sensitive discounted cost criterion. The state space and the action spaces...
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On weaker notions for Kähler-Ricci solitons
We show that shrinking Kähler-Ricci solitons over a compact Kähler manifold are gradient shrinking Kähler-Ricci solitons. The proof relies on a...