Results 1 to 10 of about 28,408,994 (264)
On nontrivial solutions of nonlinear Schrödinger equations with sign-changing potential
Advances in Difference Equations, 2021 In this paper, we consider the superlinear Schrödinger equation with bounded potential well. The potential here is allowed to be sign-changing. Without assuming the Ambrosetti–Rabinowitz-type condition, we prove the existence of a nontrivial solution and
Wei Chen, Yue Wu, Seongtae Jhang
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Advances in Nonlinear AnalysisIn this paper, we investigate the initial-boundary value problem for a class of fourth-order nonlinear parabolic equations modeling the epitaxial growth of thin films.
Duojie Cairang, Liu Yang, Long Xiao
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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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On scaling of proton- boron fusion power in a nanosecond vacuum discharge
Frontiers in PhysicsIn this paper, we present the results of further PiC simulations in the full electromagnetic code of the processes leading to the proton-boron reactions in a single device for plasma confinement, based on miniature nanosecond vacuum discharge (NVD) in a ...
Yu. K. Kurilenkov, S. N. Andreev
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Kirchhoff type problems with potential well and indefinite potential
Electronic Journal of Differential Equations, 2016 In this article, we study the Kirchhoff type problem $$\displaylines{ -\Big(\alpha\int_{\mathbb{R}^3}|\nabla u|^2dx+1\Big)\Delta u +(\lambda a(x)+a_0)u=|u|^{p-2}u \quad\text{in }\mathbb{R}^3,\cr u\in H^1(\mathbb{R}^3), }$$ where ...
Yuanze Wu, Yisheng Huang, Zeng Liu
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The Melting of Cluster Systems and Nanoparticles Models Pair Potential with an Effective Potential Well [PDF]
Журнал нано- та електронної фізики, 2016 A quasicrystal model of cluster systems and nanoparticles, which allows using a pair potential of interaction with the effective depth of the potential well to trace the dependence of the melting temperature of clusters and nanoparticles by their.
G.A. Melnikov +4 more
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MathematicsThis paper investigates the initial-boundary value problem for a fourth-order pseudo-parabolic equation with a nonlocal source: ut+Δ2u−Δut=uq−1u−1Ω∫Ωuq−1udx.
Chunxiao Yang, Wanqing Li
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PhysicsWe investigate time-resolved wave-packet transport in monolayer graphene patterned with asymmetric arrays of circular electrostatic scatterers. Using the Dirac continuum model with a split-operator scheme, we track how transmission evolves with scatterer
Khakimjan Butanov +6 more
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Boundary Value Problems, 2018 In this paper, we study the following biharmonic equation: {Δ2u−Δu+λV(x)u=α(x)f(u)+μK(x)|u|q−2uin RN,u∈H2(RN), $$ \textstyle\begin{cases} \Delta^{2}u - \Delta u + \lambda V( x)u = \alpha( x) f(u) + \mu K(x) \vert u \vert ^{q-2}u \quad\text{in } \mathbb{R}
Yu Su, Haibo Chen
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Solution of the 1d Schrödinger Equation for a Symmetric Well
Revista Brasileira de Ensino de FísicaWe suggest a mathematical potential well with spherical symmetry and apply to the 1d Schrödinger equation. We use some well known techniques as Stationary Perturbation Theory and WKB to gain insight about the solutions and compare them each other ...
Lindomar Bomfim de Carvalho +2 more
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