Results 61 to 70 of about 31,295 (230)
Critical Concave Convex Ambrosetti–Prodi Type Problems for Fractional 𝑝-Laplacian
Advanced Nonlinear Studies, 2020 In this paper, we consider a class of critical concave convex Ambrosetti–Prodi type problems involving the fractional p-Laplacian operator. By applying the linking theorem and the mountain pass theorem as well, the interaction of the nonlinearities with ...
Bueno H. P. +3 more
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IEEE Access, 2019 Hadamard fractional calculus theory has made many scholars enthusiastic and excited because of its special logarithmic function integral kernel. In this paper, we focus on a class of Caputo-Hadamard-type fractional turbulent flow model involving $p(t)$ -
Guotao Wang +3 more
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Non degeneracy of the bubble in the critical case for non local equations
, 2013 We prove the nondegeneracy of the extremals of the fractional Sobolev inequality as solutions of a critical semilinear nonlocal equation involving the fractional ...
Davila, Juan +2 more
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The trace fractional Laplacian and the mid-range fractional Laplacian
Nonlinear AnalysisIn this paper we introduce two new fractional versions of the Laplacian. The first one is based on the classical formula that writes the usual Laplacian as the sum of the eigenvalues of the Hessian. The second one comes from looking at the classical fractional Laplacian as the mean value (in the sphere) of the 1-dimensional fractional Laplacians in ...
Julio D. Rossi, Jorge Ruiz-Cases
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A pointwise inequality for fractional laplacians
Advances in Mathematics, 2015 The fractional laplacian is an operator appearing in several evolution models where diffusion coming from a L vy process is present but also in the analysis of fluid interphases. We provide an extension of a pointwise inequality that plays a r le in their study. We begin recalling two scenarios where it has been used.
Cordoba Barba, Antonio +1 more
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AIMS Mathematics, 2023 In this manuscript, the main objective is to analyze the existence, uniqueness, (EU) and stability of positive solution for a general class of non-linear fractional differential equation (FDE) with fractional differential and fractional integral boundary
Kirti Kaushik +3 more
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, 2016 We consider the fractional Laplacian operator $(-\Delta)^s$ (let $ s \in (0,1) $) on Euclidean space and investigate the validity of the classical integration-by-parts formula that connects the $ L^2(\mathbb{R}^d) $ scalar product between a function and ...
Muratori, Matteo
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Promoting Electrochemical Reactions with Dual‐Atom Catalysts for High‐Rate Lithium–Sulfur Batteries
Advanced Materials, EarlyView.A scalable strategy for synthesizing transition metal–bismuth atomic pairs on carbon nitride to accelerate sulfur redox reactions in lithium–sulfur batteries is presented. Nickel‐bismuth and cobatl‐bismuth catalysts improve rate performance by promoting direct electrochemical transitions and rapid Li2S nucleation, minimizing sulfur loss, and enhancing ...
Jing Yu +19 more
wiley +1 more source
Fractional Laplacian with Hardy potential [PDF]
Communications in Partial Differential Equations, 2019 small editorial changes, added literature, new title, 28 pages, 1 ...
Krzysztof Bogdan +3 more
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