Results 1 to 10 of about 80 (62)
Asymptotic stability analysis of Riemann-Liouville fractional stochastic neutral differential equations [PDF]
Miskolc Mathematical Notes, 2021 The novelty of our paper is to establish results on asymptotic stability of mild solutions in pth moment to Riemann-Liouville fractional stochastic neutral differential equations (for short Riemann-Liouville FSNDEs) of order α ∈ ( 2 ,1) using a Banach’s ...
Arzu Ahmadova, N. Mahmudov
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From Hardy to Rellich inequalities on graphs
Proceedings of the London Mathematical Society, Volume 122, Issue 3, Page 458-477, March 2021., 2021 Abstract We show how to deduce Rellich inequalities from Hardy inequalities on infinite graphs. Specifically, the obtained Rellich inequality gives an upper bound on a function by the Laplacian of the function in terms of weighted norms. These weights involve the Hardy weight and a function which satisfies an eikonal inequality.
Matthias Keller +2 more
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Advanced Nonlinear Studies, 2023 We consider the existence and nonexistence of the positive solution for the following Brézis-Nirenberg problem with logarithmic perturbation: −Δu=∣u∣2∗−2u+λu+μulogu2x∈Ω,u=0x∈∂Ω,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{ll}-\Delta u={| u| }^{{2}^
Deng Yinbin +3 more
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Advances in Nonlinear Analysis, 2022 In this paper we study the existence and the nonexistence of solutions to an inhomogeneous non-linear elliptic problem (P)−Δu+u=F(u)+κμ in RN, u>0 in RN, u(x)→0 as |x|→∞,- \Delta u + u = F(u) + \kappa \mu \quad {\kern 1pt} {\rm in}{\kern 1pt ...
Ishige Kazuhiro +2 more
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Boundary Value Problems, 2013 We establish the existence of positive solution for the following class of degenerate quasilinear elliptic problem (P){−Luap+V(x)|x|−ap∗|u|p−2u=f(u)in RN,u>0in RN;u∈Da1,p(RN), where −Luap=−div(|x|−ap|∇u|p−2∇u ...
W. D. Bastos, O. Miyagaki, R. S. Vieira
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Monotonicity of solutions for fractional p-equations with a gradient term
Open Mathematics, 2022 In this paper, we consider the following fractional pp-equation with a gradient term: (−Δ)psu(x)=f(x,u(x),∇u(x)).{\left(-\Delta )}_{p}^{s}u\left(x)=f\left(x,u\left(x),\nabla u\left(x)). We first prove the uniqueness and monotonicity of positive solutions
Wang Pengyan
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Positive solution for a class of coupled (p,q)-Laplacian nonlinear systems
Boundary Value Problems, 2014 In this article, we prove the existence of a nontrivial positive solution for the elliptic system {−Δpu=ω(x)f(v)in Ω,−Δqv=ρ(x)g(u)in Ω,(u,v)=(0,0)on ∂Ω, where Δp denotes the p-Laplacian operator, p,q>1 and Ω is a smooth bounded domain in RN (N≥2).
E. M. Martins, W. Ferreira
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Existence and uniqueness of a positive solution to generalized nonlocal thermistor problems with fractional-order derivatives ∗ [PDF]
, 2011 In this work we study a generalized nonlocal thermistor problem with fractional-order Riemann–Liouville derivative. Making use of fixed-point theory, we obtain existence and uniqueness of a positive solution.
M. Ammi, Delfim F. M. Torres
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Advances in Differential Equations, 2014 In this paper, we consider the dynamics of the shadow system of a kind of homogeneous diffusive predator-prey system with a strong Allee effect in prey.
Z. Bao, He Liu
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Sign changing solutions of Poisson's equation
Proceedings of the London Mathematical Society, Volume 121, Issue 3, Page 513-536, September 2020., 2020 Abstract Let Ω be an open, possibly unbounded, set in Euclidean space Rm with boundary ∂Ω, let A be a measurable subset of Ω with measure |A| and let γ∈(0,1). We investigate whether the solution vΩ,A,γ of −Δv=γ1Ω∖A−(1−γ)1A with v=0 on ∂Ω changes sign. Bounds are obtained for |A| in terms of geometric characteristics of Ω (bottom of the spectrum of the ...
M. van den Berg, D. Bucur
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