Results 31 to 40 of about 43,664 (246)
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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A note on the existence and multiplicity of solutions for sublinear fractional problems
Boundary Value Problems, 2017 In this paper, we study the existence of weak solutions for fractional p-Laplacian equations with sublinear growth and oscillatory behavior as the following L K p u = λ f ( x , u ) in Ω , u = 0 in R N ∖ Ω , $$ \begin{aligned} &\mathcal{L}^{p}_{K}u ...
Yongqiang Fu
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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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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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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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A Hopf lemma and regularity for fractional $ p $-Laplacians
Discrete and Continuous Dynamical Systems, 2020 In this paper, we study qualitative properties of the fractional $p$-Laplacian. Specifically, we establish a Hopf type lemma for positive weak super-solutions of the fractional $p-$Laplacian equation with Dirichlet condition. Moreover, an optimal condition is obtained to ensure $(-\triangle)_p^s u\in C^1(\mathbb{R}^n)$ for smooth functions $u$.
Chen, Wenxiong, Li, Congming, Qi, Shijie
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Open Mathematics, 2022 While it is known that one can consider the existence of solutions to boundary-value problems for fractional differential equations with derivative terms, the situations for the multiplicity of weak solutions for the p-Laplacian fractional differential ...
Chen Yiru, Gu Haibo
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Stability of Nonlinear Dirichlet BVPs Governed by Fractional Laplacian [PDF]
, 2014 We consider a class of partial differential equations with the fractional Laplacian and the homogeneous Dirichlet boundary data. Some sufficient condition under which the solutions of the equations considered depend continuously on parameters is stated ...
Dorota Bors, Bors, Dorota
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A Class of Fractional p-Laplacian Integrodifferential Equations in Banach Spaces
Abstract and Applied Analysis, 2013 We study a class of nonlinear fractional integrodifferential equations with p-Laplacian operator in Banach space. Some new existence results are obtained via fixed point theorems for nonlocal boundary value problems of fractional p-Laplacian equations ...
Yiliang Liu, Liang Lu
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