Results 51 to 60 of about 4,806,779 (356)
The variable exponent BV-Sobolev capacity [PDF]
Revista Matemática Complutense, 2012 33 ...
Heikki Hakkarainen, Matti Nuortio
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Global existence and stability of solution for a nonlinear Kirchhoff type reaction-diffusion equation with variable exponents [PDF]
Mathematica Bohemica, 2022 We consider a class of Kirchhoff type reaction-diffusion equations with variable exponents and source terms \begin{equation*} u_t-M\biggl(\int_\Omega\vert\nabla u \vert^2 {\rm d}x\bigg) \Delta u+ \vert u \vert^{m(x) -2}u_t= \vert u \vert^{r(x) -2}u. \end{
Aya Khaldi, Amar Ouaoua, Messaoud Maouni
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A variable exponent boundedness of the Steklov operator [PDF]
Mathematical Inequalities & Applications, 2021 In this paper, a sufficiency condition for boundedness of the Steklov ...
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Trudinger’s Inequality for Double Phase Functionals with Variable Exponents
Czechoslovak Mathematical Journal, 2021 Our aim in this paper is to establish Trudinger’s inequality on Musielak-Orlicz-Morrey spaces L Φ, κ ( G ) under conditions on Φ which are essentially weaker than those considered in a former paper.
F. Maeda +3 more
semanticscholar +1 more source
Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
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The concentration-compactness principles for Ws,p(·,·)(ℝN) and application
Advances in Nonlinear Analysis, 2020 We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems ...
Ho Ky, Kim Yun-Ho
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Advanced Engineering Materials, EarlyView., 2023 The study presents the mechanical and in situ sensing performance of digital light processing‐enabled 2D lattice nanocomposites under monotonic tensile and repeated cyclic loading, and provides guidelines for the design of architectures suitable for strain sensors and smart lightweight structures.
Omar Waqas Saadi +3 more
wiley +1 more source
Creep Characterization of Inconel 718 Lattice Metamaterials Manufactured by Laser Powder Bed Fusion
Advanced Engineering Materials, EarlyView., 2023 Herein, the creep characteristics of additively manufactured Inconel 718 metamaterials are investigated. The creep behavior of metamaterials and the effects of microstructural defects are assessed, and the microstructure defects are accurately captured using Kachanov's creep damage model.
Akash Singh Bhuwal +5 more
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Approximate inversion for Abel integral operators of variable exponent and applications to fractional Cauchy problems [PDF]
arXiv, 2021 We investigate the variable-exponent Abel integral equations and corresponding fractional Cauchy problems. The main contributions of the work are enumerated as follows: (i) We develop an approximate inversion technique for variable-exponent Abel integral operators, based on which we analyze the corresponding integral and differential equations; (ii) We
arxiv
On time adaptive critical variable exponent vectorial diffusion flows and their applications in image processing [PDF]
Nonlinear Analysis 168(2018) 176-197, 2016 Variable exponent spaces have found interesting applications in real world problems. Recently, there have been considerable interest in utilizing variational and evolution problems based on variable exponents for imaging applications. The main classes of partial differential equations (PDEs) related to the variable exponents involve the $p(\cdot ...
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