Results 41 to 50 of about 98 (89)

Multi-Bump Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity: The Topological Effect of Potential Wells

Advanced Nonlinear Studies, 2021
In this article, we are interested in multi-bump solutions of the singularly perturbed ...
Jin Sangdon
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Subharmonic solutions of first-order Hamiltonian systems

Advances in Nonlinear Analysis
The aim of this article is to study subharmonic solutions of superquadratic and asymptotically (constant) linear nonautonomous Hamiltonian systems in R2n{{\mathbb{R}}}^{2n} respectively, and to improve the results in Professor Liu’s [Subharmonic ...
Zhou Yuting
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Existence of periodic solutions with prescribed minimal period of a 2nth-order discrete system

Open Mathematics, 2019
In this paper, we concern with a 2nth-order discrete system. Using the critical point theory, we establish various sets of sufficient conditions for the existence of periodic solutions with prescribed minimal period. To the best of our knowledge, this is
Liu Xia, Zhou Tao, Shi Haiping
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Infinitely Many Solutions for the Nonlinear Schrödinger–Poisson System with Broken Symmetry

Advanced Nonlinear Studies, 2021
In this paper, we consider the following Schrödinger–Poisson system with perturbation:
Guo Hui, Wang Tao
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Non-hyperbolic P-Invariant Closed Characteristics on Partially Symmetric Compact Convex Hypersurfaces

Advanced Nonlinear Studies, 2018
Let n≥2{n\geq 2} be an integer, P=diag⁢(-In-κ,Iκ,-In-κ,Iκ){P=\mathrm{diag}(-I_{n-\kappa},I_{\kappa},-I_{n-\kappa},I_{\kappa})} for some integer κ∈[0,n]{\kappa\in[0,n]}, and let Σ⊂ℝ2⁢n{\Sigma\subset{\mathbb{R}}^{2n}} be a partially symmetric compact ...
Liu Hui, Zhu Gaosheng
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Large Energy Bubble Solutions for Schrödinger Equation with Supercritical Growth

Advanced Nonlinear Studies, 2021
We consider the following nonlinear Schrödinger equation involving supercritical growth:
Guo Yuxia, Liu Ting
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Multiplicity of semiclassical solutions for a class of nonlinear Hamiltonian elliptic system

Advances in Nonlinear Analysis
This article is concerned with the following Hamiltonian elliptic system: −ε2Δu+εb→⋅∇u+u+V(x)v=Hv(u,v)inRN,−ε2Δv−εb→⋅∇v+v+V(x)u=Hu(u,v)inRN,\left\{\begin{array}{l}-{\varepsilon }^{2}\Delta u+\varepsilon \overrightarrow{b}\cdot \nabla u+u+V\left(x)v={H}_ ...
Zhang Jian, Zhou Huitao, Mi Heilong
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Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

Advanced Nonlinear Studies
In this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia, Gallo Marco, Tanaka Kazunaga   +2 more
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On the spectrum of Robin boundary p-Laplacian problem

Moroccan Journal of Pure and Applied Analysis, 2019
We study the following nonlinear eigenvalue problem with nonlinear Robin boundary ...
Khalil Abdelouahed El
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Multiple solutions for the quasilinear Choquard equation with Berestycki-Lions-type nonlinearities

Advances in Nonlinear Analysis
In this article, we study the following quasilinear equation with nonlocal nonlinearity −Δu−κuΔ(u2)+λu=(∣x∣−μ*F(u))f(u),inRN,-\Delta u-\kappa u\Delta \left({u}^{2})+\lambda u=\left({| x| }^{-\mu }* F\left(u))f\left(u),\hspace{1em}\hspace{0.1em}\text{in ...
Jia Yue, Yang Xianyong
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