Results 41 to 50 of about 4,824,817 (357)
Universal Singular Exponents in Catalytic Variable Equations [PDF]
Journal of Combinatorial Theory, Series A, 2021 Catalytic equations appear in several combinatorial applications, most notably in the numeration of lattice path and in the enumeration of planar maps. The main purpose of this paper is to show that the asymptotic estimate for the coefficients of the solutions of (so-called) positive catalytic equations has a universal asymptotic behavior.
Marc Noy +3 more
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Capacitary characterization of variable exponent Sobolev trace spaces
Moroccan Journal of Pure and Applied Analysis, 2022 Let Ω ⊂ ℝn be an open set. We give a new characterization of zero trace functions f∈𝒞(Ω¯)∩W01,p(.)(Ω)f \in \mathcal{C}\left( {\bar \Omega } \right) \cap W_0^{1,p\left( . \right)}\left( \Omega \right).
Berghout Mohamed
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Duality of Variable Exponent Triebel-Lizorkin and Besov Spaces
Journal of Function Spaces and Applications, 2012 We will prove the duality and reflexivity of variable exponent Triebel-Lizorkin and Besov spaces. It was shown by many authors that variable exponent Triebel-Lizorkin spaces coincide with variable exponent Bessel potential spaces, Sobolev spaces, and ...
Takahiro Noi
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The variable exponent BV-Sobolev capacity [PDF]
Revista Matemática Complutense, 2012 33 ...
Heikki Hakkarainen, Matti Nuortio
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Journal of Function Spaces, 2019 In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent weak Morrey spaces based on the results of Lebesgue space with variable exponent as the infimum of exponent function p(·)
Xukui Shao, Shuangping Tao
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Multiple solutions of double phase variational problems with variable exponent [PDF]
Advances in Calculus of Variations, 2018 This paper deals with the existence of multiple solutions for the quasilinear equation - div 𝐀 ( x , ∇ u ) + | u | α ( x ) - 2 u = f ( x , u ) in ℝ N , {-\operatorname{div}\mathbf{A}(x,\nabla u)+|u|^{\alpha(x)-2}u=f(x,u)\quad\text% {in ...
Xiayang Shi +3 more
semanticscholar +1 more source
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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Sign-Changing Solutions for Kirchhoff-Type Problems with Variable Exponent
Journal of Mathematics, 2023 This paper is devoted to study a class of Kirchhoff-type problems with variable exponent. By means of the perturbation technique, the method of invariant sets for the descending flow and necessary estimates and the existence of infinitely many sign ...
Changmu Chu, Ying Yu
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Malliavin Derivatives in Spaces with Variable Exponents [PDF]
Journal of Function Spaces, 2014 Spaces with variable exponentsLpx(H,μ)andLpx(H,μ;H)are introduced. After discussing some approximation results ofLpx(H,μ), Sobolev spaces onHwith variable exponents are introduced. At last, we define Malliavin derivatives inLpx(H,μ)and discuss some properties of Malliavin derivatives inLpx(H,μ).
Bochi Xu, Yongqiang Fu, Boping Tian
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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
wiley +1 more source