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Article
Generalized Lagrangian Duality in Set-valued Vector Optimization via Abstract Subdifferential
In this paper, we investigate dual problems for nonconvex set-valued vector optimization via abstract subdifferential. We first introduce a generalized augmented Lagrangian function induced by a coupling vecto...
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Article
Fujita type conditions to heat equation with variable source
This paper studies heat equation with variable exponent u t = Δu + up(x) + u q in ℝ N × (0, T), where p(x) ...
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Article
Trimmed and Winsorized transformed means based on a scaled deviation
This paper introduces the Tukey trimmed and Winsorized means for the transformed data based on a scaled deviation. The trimmed and Winsorized means and scale based on a scaled deviation are as special cases. M...
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Article
Hausdorff operators on Euclidean spaces
Hausdorff operator is an important operator raised from the dilation on Euclidean space and rooted in the classical summability of number series and Fourier series. It is also connected to many well known oper...
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Article
Non-simultaneous quenching for a slow diffusion system coupled at the boundary
This paper deals with the quenching behavior of positive solutions to the Newton filtration equations coupled with boundary singularities. We determine quenching rates for nonsimultaneous quenching at first, a...
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Article
Double-medium constitutive model of geological material in uniaxial tension and compression
Based on elasto-plasticity and damage mechanics, a double-medium constitutive model of geological material under uniaxial tension and compression was presented, on the assumption that rock and soil materials a...