Results 41 to 50 of about 932 (91)
Advanced Nonlinear Studies, 2022 In this paper, we consider the following critical fractional magnetic Choquard equation: ε2s(−Δ)A∕εsu+V(x)u=εα−N∫RN∣u(y)∣2s,α∗∣x−y∣αdy∣u∣2s,α∗−2u+εα−N∫RNF(y,∣u(y)∣2)∣x−y∣αdyf(x,∣u∣2)uinRN,\begin{array}{rcl}{\varepsilon }^{2s}{\left(-\Delta )}_{A ...
Jin Zhen-Feng +2 more
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Noether Symmetries and Critical Exponents
, 2005 We show that all Lie point symmetries of various classes of nonlinear differential equations involving critical nonlinearities are variational/divergence symmetries.Comment: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and ...
Bozhkov, Yuri
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Least energy sign-changing solutions for Schrödinger-Poisson systems with potential well
Advanced Nonlinear Studies, 2022 In this article, we investigate the existence of least energy sign-changing solutions for the following Schrödinger-Poisson system −Δu+V(x)u+K(x)ϕu=f(u),x∈R3,−Δϕ=K(x)u2,x∈R3,\left\{\begin{array}{ll}-\Delta u+V\left(x)u+K\left(x)\phi u=f\left(u),\hspace{1.
Chen Xiao-Ping, Tang Chun-Lei
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Some nonlinear second order equation modelling rocket motion [PDF]
, 2015 In this paper, we consider a nonlinear second order equation modelling rocket motion in the gravitational field obstructed by the drag force.
Bors, Dorota, Stańczy, Robert
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On the singularly perturbation fractional Kirchhoff equations: Critical case
Advances in Nonlinear Analysis, 2022 This article deals with the following fractional Kirchhoff problem with critical exponent a+b∫RN∣(−Δ)s2u∣2dx(−Δ)su=(1+εK(x))u2s∗−1,inRN,\left(a+b\mathop{\int }\limits_{{{\mathbb{R}}}^{N}}| {\left(-\Delta )}^{\tfrac{s}{2}}u\hspace{-0.25em}{| }^{2}{\rm{d ...
Gu Guangze, Yang Zhipeng
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Spatial and age-dependent population dynamics model with an additional structure: can there be a unique solution? [PDF]
, 2013 A simple age-dependent population dynamics model with an additional structure or physiological variable is presented in its variational formulation. Although the model is well-posed, the closed form solution with space variable is difficult to obtain ...
Tchuenche, Jean M.
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Advances in Nonlinear Analysis, 2022 This paper is concerned with existence and concentration properties of ground-state solutions to the following fractional Choquard equation with indefinite potential: (−Δ)su+V(x)u=∫RNA(εy)∣u(y)∣p∣x−y∣μdyA(εx)∣u(x)∣p−2u(x),x∈RN,{\left(-\Delta )}^{s}u+V ...
Zhang Wen, Yuan Shuai, Wen Lixi
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Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 Özet: Rijit yarı-düzlem üzerine oturmuş öngerilmeli şerit plağın zorlanmış titreşim probleminin üç boyutlu doğrusallaştırılmış elastodinamik teorisi çerçevesinde matematik formülasyonu verilmiştir.
Mustafa ERÖZ
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Existence Results for a critical fractional equation
, 2016 We are concerned with existence results for a critical problem of Brezis-Nirenberg Type involving an integro-differential operator. Our study includes the fractional Laplacian. Our approach still applies when adding small singular terms.
Bisci, Giovanni Molica +2 more
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On the Fractional NLS Equation and the Effects of the Potential Well’s Topology
Advanced Nonlinear Studies, 2021 In this paper we consider the fractional nonlinear Schrödinger ...
Cingolani Silvia, Gallo Marco
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