Results 41 to 50 of about 43,657 (228)
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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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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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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Fractional p-Laplacian evolution equations
Journal de Mathématiques Pures et Appliquées, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mazón, José M. +2 more
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Non-Nehari Manifold Method for Fractional p-Laplacian Equation with a Sign-Changing Nonlinearity
Journal of Function Spaces, 2018 We consider the following fractional p-Laplacian equation: -Δpαu+V(x)up-2u=f(x,u)-Γ(x)uq-2u, x∈RN, where N≥2, pα⁎>q>p≥2, α∈(0,1), -Δpα is the fractional p-Laplacian, and Γ∈L∞(RN) and Γ(x)≥0 for a.e. x∈RN. f has the subcritical growth but higher than Γ(x)
Huxiao Luo, Shengjun Li, Wenfeng He
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Nontrivial Solution for the Fractional p-Laplacian Equations via Perturbation Methods
Advances in Mathematical Physics, 2017 We study the existence of nontrivial solution of the following equation without compactness: (-Δ)pαu+up-2u=f(x,u), x∈RN, where N,p≥2, α∈(0,1), (-Δ)pα is the fractional p-Laplacian, and the subcritical p-superlinear term f∈C(RN×R) is 1-periodic in xi ...
Huxiao Luo, Shengjun Li, Xianhua Tang
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Critical Fractional p-Laplacian System with Negative Exponents
Journal of Function Spaces, 2023 In this paper, we consider a class of fractional p-Laplacian problems with critical and negative exponents. By decomposition of the Nehari manifold, the existence and multiplicity of nontrivial solutions for the above problems are established with ...
Qinghao Zhu, Jianming Qi
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Nonnegative solutions of nonlinear fractional Laplacian equations [PDF]
, 2020 The study of reaction-diffusion equations involving nonlocal diffusion operators has recently flourished. The fractional Laplacian is an example of a nonlocal diffusion operator which allows long-range interactions in space, and it is therefore important
Hollifield, Elliott Z. +1 more
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