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Mixed Anisotropic and Nonlocal Sobolev Type Inequalities with Extremal
We establish mixed anisotropic and nonlocal Sobolev type inequalities with an extremal. We show that the extremal function is unique up to a...
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Extremal Mild Solutions of Fractional Evolution Equation with Mixed Monotone Impulsive Conditions
The well established mixed monotone iterative technique is utilized explicitly to study the existence of the extremal solutions of a class of...
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Extremal mild solutions to Hilfer evolution equations with non-instantaneous impulses and nonlocal conditions
In this article, we study the existence of extremal mild solutions for a class of Hilfer fractional evolution equation with non-instantaneous...
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Some Variations on the Extremal Index
We reconsider Leadbetter’s extremal index for stationary sequences. It has interpretation as reciprocal of the expected size of an extremal cluster...
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Generalized Extremal Optimization
In this chapter, the description of the method called Generalized Extremal Optimization (GEO) is presented, including a brief history, the algorithm,...
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Extremal Regions and Multiplicity of Positive Solutions for Singular Superlinear Elliptic Systems with Indefinite-Sign Potential
In the present paper we deal with the existence, nonexistence and multiplicity of positive solutions for the singular superlinear and subcritical...
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Extremal metrics on the total space of destabilising test configurations
We construct extremal metrics on the total space of certain destabilising test configurations for strictly semistable Kähler manifolds. This produces...
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On Some Extremal Problems Associated with Motion in a Velocity Field
AbstractThe extremals of the Pontryagin maximum principle for problems related to motion in the velocity field are studied. Controls are continuous...
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Extremal Black Holes as Relativistic Systems with Kepler Dynamics
The recent detection of gravitational waves emanating from inspiralling black hole binaries has triggered a renewed interest in the dynamics of...
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Existence of extremal solutions for a fractional compartment model
In this paper, we consider the existence of extremal solutions for a type of fractional compartment models. By use of a new comparison result, some...
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Existence and non-existence of constant scalar curvature and extremal Sasaki metrics
We discuss the existence and non-existence of constant scalar curvature, as well as extremal, Sasaki metrics. We prove that the natural...
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Extremal inverse eigenvalue problem for matrices described by a connected unicyclic graph
In this paper, we deal with the construction of symmetric matrix whose corresponding graph is connected and unicyclic using some pre-assigned...
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Extremal Points and Sparse Optimization for Generalized Kantorovich–Rubinstein Norms
A precise characterization of the extremal points of sublevel sets of nonsmooth penalties provides both detailed information about minimizers, and...
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Extremal properties of Sobolev’s Beltrami coefficients and distortion of curvelinear functionals
An important problem in applications of quasiconformal analysis and in its numerical aspect is to establish algorithms for explicit or approximate...
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Extremal Controls Searching Methods Based on Fixed Point Problems
New methods of searching for extremal controls are considered in the class of linear-quadratic optimal control problems that arise in control models...
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Extremal Positive Solutions for Hadamard Fractional Differential Systems on an Infinite Interval
In this paper, we deal with the iterative positive solutions for a system of Hadamard fractional differential equations, supplemented with...