Results 31 to 40 of about 101 (89)
, 2019 [Georgiev V.; Георгиев В.]This paper considers a generalization of Föppl–von Kärmán model for elastic plate depending on a parameter σ. We prove global well posedness for the Cauchy problem with small initial data and σ = 1 via Strichartz estimate for ...
Gueorguiev, Vladimir Simeonov +3 more
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Existence and properties of soliton solution for the quasilinear Schrödinger system
Open MathematicsIn this article, we consider the following quasilinear Schrödinger system: −εΔu+u+k2ε[Δ∣u∣2]u=2αα+β∣u∣α−2u∣v∣β,x∈RN,−εΔv+v+k2ε[Δ∣v∣2]v=2βα+β∣u∣α∣v∣β−2v,x∈RN,\left\{\begin{array}{ll}-\varepsilon \Delta u+u+\frac{k}{2}\varepsilon \left[\Delta \hspace{-0 ...
Zhang Xue, Zhang Jing
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Normalized solutions for the Choquard equations with critical nonlinearities
Advances in Nonlinear AnalysisThis study is concerned with the existence of normalized solutions for the Choquard equations with critical nonlinearities −Δu+λu=f(u)+(Iα∗∣u∣2α*)∣u∣2α*−2u,inRN,∫RN∣u∣2dx=a2,\left\{\begin{array}{l}-\Delta u+\lambda u=f\left(u)+\left({I}_{\alpha }\ast ...
Gao Qian, He Xiaoming
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Critical elliptic systems involving multiple strongly–coupled Hardy–type terms
Advances in Nonlinear Analysis, 2019 In this paper, we study the radially–symmetric and strictly–decreasing solutions to a system of critical elliptic equations in RN, which involves multiple critical nonlinearities and strongly–coupled Hardy– type terms.
Kang Dongsheng, Liu Mengru, Xu Liangshun
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Multiplicity and concentration results for magnetic relativistic Schrödinger equations
Advances in Nonlinear Analysis, 2019 In this paper, we consider the following magnetic pseudo-relativistic Schrödinger ...
Xia Aliang
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Normalized solutions of Kirchhoff equations with Hartree-type nonlinearity
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In the present paper, we prove the existence of the solutions (λ, u) ∈ ℝ × H1(ℝ3) to the following Kirchhoff equations with the Hartree-type nonlinearity under the general mass supercritical settings, {-(a+b∫ℝ3|∇u|2dx)Δu-λu=[Iα*(K(x)F(u))]K(x)f(u),u∈H1 ...
Yuan Shuai, Gao Yuning
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Stability and critical dimension for Kirchhoff systems in closed manifolds
Advanced Nonlinear StudiesThe Kirchhoff equation was proposed in 1883 by Kirchhoff [Vorlesungen über Mechanik, Leipzig, Teubner, 1883] as an extension of the classical D’Alembert’s wave equation for the vibration of elastic strings. Almost one century later, Jacques Louis Lions [“
Hebey Emmanuel
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Monotonicity formulas for coupled elliptic gradient systems with applications
Advances in Nonlinear Analysis, 2019 Consider the following coupled elliptic system of ...
Fazly Mostafa, Shahgholian Henrik
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Advances in Nonlinear Analysis, 2023 In this article, we study the following Klein-Gordon-Maxwell system: −Δu−(2ω+ϕ)ϕu=g(u),inR3,Δϕ=(ω+ϕ)u2,inR3,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}-\Delta u-\left(2\omega +\phi )\phi u=g\left(u),\hspace{1.0em}{\rm{in}}\hspace{1em}{{\mathbb{
Liu Xiao-Qi, Li Gui-Dong, Tang Chun-Lei
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Ground states for fractional Kirchhoff double-phase problem with logarithmic nonlinearity
Demonstratio MathematicaOur primary objective is to study the solvability of two kinds of fractional Kirchhoff double-phase problem involving logarithmic nonlinearity in RN{{\mathbb{R}}}^{N} via the variational approach.
Cheng Yu, Shang Suiming, Bai Zhanbing
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