Results 51 to 60 of about 232 (127)
Solutions of Fractional Diffusion-Wave Equations in Terms of H-functions [PDF]
, 2012 MSC 2010: 35R11, 42A38, 26A33, 33E12The method of integral transforms based on joint application of a fractional generalization of the Fourier transform and the classical Laplace transform is utilized for solving Cauchy-type problems for the time-space ...
Al-Saqabi, Bader, Boyadjiev, Lyubomir
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Ground-state solutions for fractional Kirchhoff-Choquard equations with critical growth
Advances in Nonlinear AnalysisWe study the following fractional Kirchhoff-Choquard equation: a+b∫RN(−Δ)s2u2dx(−Δ)su+V(x)u=(Iμ*F(u))f(u),x∈RN,u∈Hs(RN),\left\{\begin{array}{l}\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R}}}^{N}}{\left|{\left(-\Delta )}^{\frac{s}{2}}u\right|}
Yang Jie, Chen Haibo
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Global well-posedness for the generalized Keller-Segel system in critical Besov-Morrey spaces with variable exponent [PDF]
This article is devoted to studying the generalized Keller-Segel system (GKS) in homogeneous variable exponent Besov-Morrey spaces. By making use of the Littlewood-Paley theory and the Chemin mono-norm methods, we obtain, when 1/2< β ≤ 1, a global ...
EL IDRISSI, Ahmed +3 more
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Eigenvalues for a combination between local and nonlocal p-Laplacians
, 2019 In this paper we study the Dirichlet eigenvalue problem −Δpu − ΔJ,pu = λ|u| p−2u in Ω, u = 0 in Ωc = RN \ Ω. Here Ω is a bounded domain in RN , Δpu is the standard local p-Laplacian and ΔJ,pu is a nonlocal p-homogeneous operator of order zero.
Ferreira, Raúl +2 more
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A Nonhomogeneous Fractional p-Kirchhoff Type Problem Involving Critical Exponent in ℝN
Advanced Nonlinear Studies, 2017 This paper concerns itself with the nonexistence and multiplicity of solutions for the following fractional Kirchhoff-type problem involving the critical Sobolev exponent:
Xiang Mingqi, Zhang Binlin, Zhang Xia
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On a fractional thin film equation
Advances in Nonlinear Analysis, 2020 This paper deals with a nonlinear degenerate parabolic equation of order α between 2 and 4 which is a kind of fractional version of the Thin Film Equation.
Segatti Antonio, Vázquez Juan Luis
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, 2019 In this article, two different methods, namely sub-equation method and residual power series method, have been used to obtain new exact and approximate solutions of the generalized Hirota-Satsuma system of equations, which is a coupled KdV model.
Ahmad Neirameh +6 more
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Advanced Nonlinear StudiesIn this paper, we study the following fractional Schrödinger–Poisson system with discontinuous nonlinearity:ε2s(−Δ)su+V(x)u+ϕu=H(u−β)f(u),inR3,ε2s(−Δ)sϕ=u2,inR3,u>0,inR3, $$\begin{cases}^{2s}{\left(-{\Delta}\right)}^{s}u+V\left(x\right)u+\phi u=H\left(u-\
Mu Changyang, Yang Zhipeng, Zhang Wei
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Neumann problem with a discontinuous nonlinearity
Demonstratio MathematicaThis study is devoted to proving the existence of weak solutions for a nonlinear elliptic problem with Neumann-type boundary data. The problem is driven by a discontinuous power nonlinearity and a nonsmooth prescribed data. Additionally, we aim to derive
Choudhuri Debajyoti +2 more
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The critical Schrödinger–Poisson system involving (p, q)-Laplacian on the Heisenberg group
Demonstratio MathematicaThis paper is committed to the existence of multiple solutions for the critical Schrödinger–Poisson system involving (p, q)-Laplacian on the Heisenberg group:
Ma Xueyan, Li Haoyan, Song Yueqiang
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