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Semilinear fractional elliptic equations with combined nonlinearities and measure data
This study focuses on semilinear fractional elliptic problems with concave-convex type nonlinearities and measures as data. Suitable iteration...
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Existence and uniqueness of solution for some time fractional parabolic equations involving the 1-Laplace operator
This paper is devoted to study the time fractional parabolic 1-Laplacian type. Firstly, by using the parabolic regularization technique and...
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Complex Hessian-Type Equations in the Weighted m-Subharmonic Class
We study the existence of a solution to a general type of complex Hessian equation on some Cegrell classes. For a given measure μ defined on an m -hype...
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A linear technique for designing optimal rotated shapes
In this article, a simple linear method is established for designing optimal revolving objects with desired physical properties. First, the problem...
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Strong Asymptotic of Cauchy Biorthogonal Polynomials and Orthogonal Polynomials with Varying Measure
We give the strong asymptotic of Cauchy biorthogonal polynomials under the assumption that the defining measures are supported on bounded...
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Existence of parabolic minimizers to the total variation flow on metric measure spaces
We give an existence proof for variational solutions u associated to the total variation flow. Here, the functions being considered are defined on a...
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Markov processes related to the stationary measure for the open KPZ equation
We provide a probabilistic description of the stationary measures for the open KPZ on the spatial interval [0, 1] in terms of a Markov process Y ,...
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Absolute continuity of probability measures and conditional expectations
In this chapter a special attention is devoted to the absolute continuity Absolute continuity of measures. It is shown how this notion and the...
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Existence of Solutions to the Nonlinear Kantorovich Transportation Problem
AbstractWe study the existence of solutions to the Kantorovich optimal transportation problem with a nonlinear cost functional generated by a cost...
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A lower bound for the constant \(A_1 (X)\) in normed linear spaces
To describe the geometry of normed spaces, many geometric constants have been investigated. Among them, there are two geometric constants related to...
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Asymptotics for Christoffel functions associated to continuum Schrödinger operators
We prove asymptotics of the Christoffel function, λ L ( ξ ), of a continuum Schrödinger operator for points in the interior of the essential spectrum...
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Projective Limit Techniques for the Infinite Dimensional Moment Problem
We deal with the following general version of the classical moment problem: when can a linear functional on a unital commutative real algebra A be...
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Pathwise Approximations for the Solution of the Non-Linear Filtering Problem
We consider high order approximations of the solution of the stochastic filtering problem, derive their pathwise representation in the spirit of the...
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Existence of a Renormalized Solution to an Anisotropic Parabolic Problem for an Equation with Diffuse Measure
The first initial-boundary value problem is considered for a class of anisotropic parabolic equations with variable nonlinearity exponents and a...
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Pseudo-almost Periodic Solutions of Class r in the α-Norm Under the Light of Measure Theory
We consider the existence of weak solutions for discrete nonlinear problems. The proof of the main result is based on a minimization method.
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On Weak \(\epsilon \)-Nets and the Radon Number
We show that the Radon number characterizes the existence of weak nets in separable convexity spaces (an abstraction of the Euclidean notion of...
