Results 81 to 90 of about 214,926 (206)

Infinitely many sign-changing solutions for a Schrödinger equation

Advances in Difference Equations, 2011
We study a superlinear Schrödinger equation in the whole Euclidean space ℝn. By using a suitable sign-changing critical point, we prove that the problem admits infinitely many sign-changing solutions, under weaker conditions.
Qian Aixia
doaj  

Infinitely Many Normalized Solutions for a Quasilinear Schrödinger Equation

The Journal of Geometric Analysis
In this paper, we are concerned with a quasilinear Schrodinger equation with well-known Berestycki--Lions nonliearity. The existence of infinitely many normalized solutions is obtained via a minimax argument.
Yang, Xianyong, Zhao, Fukun
openaire   +3 more sources

Reflection symmetries and absence of eigenvalues for one-dimensional Schrödinger operators [PDF]

, 2004
We prove a criterion for absence of decaying solutions for one-dimensional Schrödinger operators. As necessary input, we require infinitely many centers of local reflection symmetry and upper and lower bounds for the traces of the associated transfer ...
Damanik, David, Hundertmark, Dirl
core  

Imaging of Biphoton States: Fundamentals and Applications

Advanced Functional Materials, EarlyView.
Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
wiley   +1 more source

Infinitely many solutions for hemivariational inequalities involving the fractional Laplacian

Journal of Inequalities and Applications, 2019
In the paper, we consider the following hemivariational inequality problem involving the fractional Laplacian: {(−Δ)su+λu∈α(x)∂F(x,u)x∈Ω,u=0x∈RN∖Ω, $$ \textstyle\begin{cases} (-\Delta )^{s}u+\lambda u\in \alpha (x) \partial F(x,u) & x \in \varOmega ...
Lijing Xi, Yuying Zhou
doaj   +1 more source

Infinitely many solutions of p-sublinear p-Laplacian equations

Journal of Mathematical Analysis and Applications, 2015
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Jing, Yongtao, Liu, Zhaoli
openaire   +1 more source

2D Magnetic and Topological Quantum Materials and Devices for Ultralow Power Spintronics

Advanced Functional Materials, EarlyView.
2D magnets and topological quantum materials enable ultralow‐power spintronics by combining robust magnetic order with symmetry‐protected, Berry‐curvature‐driven transport. Fundamentals of 2D anisotropy and spin‐orbit‐coupling induced band inversion are linked to scalable growth and vdW stacking.
Brahmdutta Dixit, Yifei Yang, Shawn Li, Yu‐Chia Chen, Qi Jia, Jian‐Ping Wang   +5 more
wiley   +1 more source

Infinitely many positive solutions for fractional differential inclusions

Electronic Journal of Differential Equations, 2016
In this article, we study a class of fractional differential inclusions problem. By nonsmooth variational methods and the theory of the fractional derivative spaces, we establish the existence of infinitely many positive solutions of the problem under
Ge Bin, Ying-Xin Cui, Ji-Chun Zhang
doaj  

Analysis of an elliptic system with infinitely many solutions

Advances in Nonlinear Analysis, 2017
We consider the elliptic system Δ⁢u=up⁢vq${\Delta u\hskip-0.284528pt=\hskip-0.284528ptu^{p}v^{q}}$, Δ⁢v=ur⁢vs${\Delta v\hskip-0.284528pt=\hskip-0.284528ptu^{r}v^{s}}$ in Ω with the boundary conditions ∂⁡u/∂⁡η=λ⁢u${{\partial u/\partial\eta}=\lambda u}$, ∂⁡
Cortázar Carmen, Elgueta Manuel, García-Melián Jorge   +2 more
doaj   +1 more source

Infinitely many solutions for fractional Kirchhoff–Sobolev–Hardy critical problems

Electronic Journal of Qualitative Theory of Differential Equations, 2019
We investigate a class of critical stationary Kirchhoff fractional $p$-Laplacian problems in presence of a Hardy potential. By using a suitable version of the symmetric mountain-pass lemma due to Kajikiya, we obtain the existence of a sequence of ...
Vincenzo Ambrosio, Alessio Fiscella, Teresa Isernia   +2 more
doaj   +1 more source