Results 61 to 70 of about 686 (101)

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
doaj   +1 more source

Multiple concentrating solutions for a fractional (p, q)-Choquard equation

Advanced Nonlinear Studies
We focus on the following fractional (p, q)-Choquard problem: (−Δ)psu+(−Δ)qsu+V(εx)(|u|p−2u+|u|q−2u)=1|x|μ*F(u)f(u) in RN,u∈Ws,p(RN)∩Ws,q(RN),u>0 in RN, $\begin{cases}{\left(-{\Delta}\right)}_{p}^{s}u+{\left(-{\Delta}\right)}_{q}^{s}u+V\left(\varepsilon ...
Ambrosio Vincenzo
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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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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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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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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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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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Three solutions for a class of quasilinear elliptic systems involving the p(x)-Laplace operator

, 2012
The existence of at least three weak solutions is established for a class of quasilinear elliptic systems involving the p(x)-Laplace operator with Neumann boundary condition.
Honghui Yin, Zuodong Yang
semanticscholar   +1 more source

Single Blow up Solutions for a Slightly Subcritical Biharmonic Equation [PDF]

, 2004
In this paper, we consider a biharmonic equation under the Navier boundary condition and with a nearly critical exponent $(P_\epsilon): \Delta^2u=u^{9-\epsilon}, u>0$ in $\Omega$ and $u=\Delta u=0$ on $\partial\Omega$, where $\Omega$ is a smooth bounded ...
Mehdi, Khalil El
core   +3 more sources