Results 1 to 10 of about 439 (54)
On the critical fractional Schrödinger-Kirchhoff-Poisson equations with electromagnetic fields
Open Mathematics, 2022 This paper intend to study the following critical fractional Schrödinger-Kirchhoff-Poisson equations with electromagnetic fields in R3{{\mathbb{R}}}^{3}: ε2sM([u]s,A2)(−Δ)Asu+V(x)u+(∣x∣2t−3∗∣u∣2)u=f(x,∣u∣2)u+∣u∣2s∗−2u,x∈R3.{\varepsilon }^{2s}{\mathfrak{M}
Zhang Zhongyi
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An existence result for two-dimensional parabolic integro-differential equations involving CEV model
Moroccan Journal of Pure and Applied Analysis, 2023 In this paper, we present an existence result of weak solutions for some parabolic equations involving the so-called CEV model with jumps.
Jarmouni Brahim, Hjiaj Hassane
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Solutions for nonhomogeneous fractional (p, q)-Laplacian systems with critical nonlinearities
Advances in Nonlinear Analysis, 2022 In this article, we aimed to study a class of nonhomogeneous fractional (p, q)-Laplacian systems with critical nonlinearities as well as critical Hardy nonlinearities in RN{{\mathbb{R}}}^{N}.
Tao Mengfei, Zhang Binlin
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The stability of nonlinear delay integro-differential equations in the sense of Hyers-Ulam
Nonautonomous Dynamical Systems, 2023 In this study, an initial-value problem for a nonlinear Volterra functional integro-differential equation on a finite interval was considered. The nonlinear term in the equation contains multiple time delays.
Graef John R. +3 more
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Demonstratio Mathematica, 2021 We consider strong damped wave equation involving the fractional Laplacian with nonlinear source. The results of global solution under necessary conditions on the critical exponent are established.
Bidi Younes +3 more
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Regularity estimates for fractional orthotropic p-Laplacians of mixed order
Advances in Nonlinear Analysis, 2022 We study robust regularity estimates for a class of nonlinear integro-differential operators with anisotropic and singular kernels. In this paper, we prove a Sobolev-type inequality, a weak Harnack inequality, and a local Hölder estimate.
Chaker Jamil, Kim Minhyun
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Advances in Nonlinear Analysis, 2023 In this article, we study the following general Kirchhoff type equation: −M∫R3∣∇u∣2dxΔu+u=a(x)f(u)inR3,-M\left(\mathop{\int }\limits_{{{\mathbb{R}}}^{3}}| \nabla u{| }^{2}{\rm{d}}x\right)\Delta u+u=a\left(x)f\left(u)\hspace{1em}{\rm{in}}\hspace{0.33em}{{\
Zhang Jian, Liu Huize, Zuo Jiabin
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On an abstract nonlinear second order integrodifferential equation
Journal of Function Spaces, Volume 5, Issue 2, Page 167-174, 2007., 2007 The aim of the present paper is to study the global existence of solutions of nonlinear second order integrodifferential equation in Banach space. Our analysis is based on an application of the Leray‐Schauder alternative and rely on a priori bounds of solutions.
M. B. Dhakne, G. B. Lamb, Nigel Kalton
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Harnack inequality for SDE with multiplicative noise and extension to Neumann semigroup on nonconvex manifolds [PDF]
, 2010 By constructing a coupling with unbounded time-dependent drift, dimension-free Harnack inequalities are established for a large class of stochastic differential equations with multiplicative noise.
Wang, Feng-Yu
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The trajectory‐coherent approximation and the system of moments for the Hartree type equation
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 6, Page 325-370, 2002., 2002 The general construction of semiclassically concentrated solutions to the Hartree type equation, based on the complex WKB‐Maslov method, is presented. The formal solutions of the Cauchy problem for this equation, asymptotic in small parameter ℏ (ℏ → 0), are constructed with a power accuracy of O(ℏ N/2), where N is any natural number.
V. V. Belov +2 more
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