Results 31 to 40 of about 43,657 (228)
Fractional p-Laplacian Equations with Sandwich Pairs [PDF]
, 2023 The main purpose of this paper was to consider new sandwich pairs and investigate the existence of a solution for a new class of fractional differential equations with p-Laplacian via variational methods in ψ-fractional space Hpα,β;ψ(Ω).
Jose Vanterler da C. Sousa
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Concentrating solutions for a fractional p-Laplacian logarithmic Schrödinger equation [PDF]
, 2023 We consider the following fractional p-Laplacian logarithmic Schrödinger equation: [equaction presented] where ε > 0, s ∈ (0, 1), p ∈ [2,∞), N > sp, (-Δ)ps is the fractional p-Laplacian operator, V: RN → R is a continuous potential satisfying a local ...
Alves C. O. +3 more
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Global Hölder regularity for the fractional $p$-Laplacian [PDF]
Revista Matemática Iberoamericana, 2016 By virtue of barrier arguments we prove C^\alpha -regularity up to the boundary for the weak solutions of a non-local, non-linear problem driven by the fractional p -
IANNIZZOTTO, ANTONIO +2 more
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Diffusive representations for fractional Laplacian: systems theory framework and numerical issues [PDF]
, 2009 Bridging the gap between an abstract definition of pseudo-differential operators, such as (-\Delta)^{\gamma} for - 1/2 < \gamma < 1/2, and a concrete way to represent them has proved difficult; deriving stable numerical schemes for such operators is not ...
Matignon, Denis
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Spectral Stability for the Peridynamic Fractional p-Laplacian
Applied Mathematics & Optimization, 2021 In this work we analyze the behavior of the spectrum of the peridynamic fractional $p$-Laplacian, $(-Δ_p)_δ^s$, under the limit process $δ\to0^+$ or $δ\to+\infty$. We prove spectral convergence to the classical $p$-Laplacian under a suitable scaling as $δ\to0^+$ and to the fractional $p$-Laplacian as $δ\to+\infty$.
José C. Bellido, Alejandro Ortega
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Linking over cones for the Neumann fractional p-Laplacian [PDF]
Journal of Differential Equations, 2021 We consider nonlinear problems governed by the fractional $p-$Laplacian in presence of nonlocal Neumann boundary conditions. We face two problems. First: the $p-$superlinear term may not satisfy the Ambrosetti-Rabinowitz condition. Second, and more important: although the topological structure of the underlying functional reminds the one of the linking
Mugnai, Dimitri, Proietti Lippi, Edoardo
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Transference of Fractional Laplacian Regularity [PDF]
, 2014 In this note we show how to obtain regularity estimates for the fractional Laplacian on the multidimensional torus Tn from the fractional Laplacian on ℝn. Though at first glance this may seem quite natural, it must be carefully precised.
Stinga, P.R. [0000-0001-5178-7112] +3 more
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Lyapunov-type inequalities for the fractional p-sub-Laplacian [PDF]
, 2020 In this paper we study the fractional Dirichlet p-sub-Laplacian in a Haar measurable set on homogeneous Lie groups. We show analogues of the fractional Sobolev and Hardy inequalities and we also present a Lyapunov-type inequality for the fractional p-sub-
Suragan, Durvudkhan, Kassymov, Aidyn
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Global Bifurcation for Fractional $p$-Laplacian and an Application [PDF]
Zeitschrift für Analysis und ihre Anwendungen, 2016 We prove the existence of an unbounded branch of solutions to the non-linear non-local equation (-\Delta)^s_p u=\lambda |u|^{p-2}u + f(x,u,\lambda) \quad\text{in } \Omega,\quad u=0 \quad\text{in } \mathbb R^n\setminus\Omega ,
del Pezzo, Leandro Martin +1 more
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The Obstacle Problem at Zero for the Fractional p-Laplacian
Set-Valued and Variational Analysis, 2020 In this paper the authors study an obstacle problem driven by the fractional \(p\)-Laplacian operator in a bounded domain of the Euclidean space. In the main results of the paper the authors prove the existence of at least two nontrivial solutions, using classical degree theory and variational methods.
Frassu S., Rocha E. M., Staicu V.
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