Results 31 to 40 of about 9,155,817 (192)

On the Schrödinger-Poisson system with indefinite potential and 3-sublinear nonlinearity [PDF]

Journal of Differential Equations, 2020
We consider a class of stationary Schrödinger-Poisson systems with a general nonlinearity $f(u)$ and coercive sign-changing potential $V$ so that the Schrödinger operator $-Δ+V$ is indefinite. Previous results in this framework required $f$ to be strictly $3$-superlinear, thus missing the paramount case of the Gross-Pitaevskii-Poisson system, where $f ...
Liu, SB, Mosconi, S
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On an eigenvalue problem with variable exponents and sign-changing potential

Electronic Journal of Qualitative Theory of Differential Equations, 2015
In this paper we study a non-homogeneous eigenvalue problem involving variable growth conditions and a sign-changing potential. We prove that any $\lambda>0$ sufficiently small is an eigenvalue of the nonhomogeneous eigenvalue problem \begin{equation ...
Bin Ge
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Infinitely many solutions for a class of sublinear fractional Schrödinger equations with indefinite potentials

Journal of Inequalities and Applications, 2020
In this paper, we consider the following sublinear fractional Schrödinger equation: ( − Δ ) s u + V ( x ) u = K ( x ) | u | p − 1 u , x ∈ R N , $$ (-\Delta)^{s}u + V(x)u= K(x) \vert u \vert ^{p-1}u,\quad x\in \mathbb{R}^{N}, $$ where s , p ∈ ( 0 , 1 ) $s,
Wen Guan, Da-Bin Wang, Xinan Hao
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Existence of solutions for a class of Kirchhoff-type equations with indefinite potential

Boundary Value Problems, 2021
In this paper, we consider the existence of solutions of the following Kirchhoff-type problem: { − ( a + b ∫ R 3 | ∇ u | 2 d x ) Δ u + V ( x ) u = f ( x , u ) , in  R 3 , u ∈ H 1 ( R 3 ) , $$\begin{aligned} \textstyle\begin{cases} - (a+b\int _{\mathbb{R}^
Jian Zhou, Yunshun Wu
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Impact of the Neurolinguistic Approach on English Language Learners’ Implicit and Explicit Knowledge of English Articles [PDF]

Issues in Language Teaching, 2023
The neurolinguistic approach (NLA) nests the claim that both internal and external grammars (i.e., implicit and explicit grammar knowledge) develop through an intensive orality-based pedagogy.
Marzieh Bagherkazemi
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Existence and concentration of ground-states for fractional Choquard equation with indefinite potential

Advances in Nonlinear Analysis, 2022
This paper is concerned with existence and concentration properties of ground-state solutions to the following fractional Choquard equation with indefinite potential: (−Δ)su+V(x)u=∫RNA(εy)∣u(y)∣p∣x−y∣μdyA(εx)∣u(x)∣p−2u(x),x∈RN,{\left(-\Delta )}^{s}u+V ...
Zhang Wen, Yuan Shuai, Wen Lixi
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Continuous spectrum for a two phase eigenvalue problem with an indefinite and unbounded potential [PDF]

, 2020
We consider a two phase eigenvalue problem driven by the (p,q)-Laplacian plus an indefinite and unbounded potential, and Robin boundary condition. Using a modification of the Nehari manifold method, we show that there exists a nontrivial open interval I ...
Vetro F., Papageorgiou N. S., Vetro C.
core   +1 more source

Reassessing the computational advantage of quantum-controlled ordering of gates

Physical Review Research, 2021
Research on indefinite causal structures is a rapidly evolving field that has a potential not only to make a radical revision of the classical understanding of space-time but also to achieve enhanced functionalities of quantum information processing. For
Martin J. Renner, Časlav Brukner
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Global multiplicity of positive solutions for anisotropic $(p,q)$-Robin boundary value problems with an indefinite potential term

Electronic Journal of Qualitative Theory of Differential Equations
We consider a nonlinear Robin problem driven by the anisotropic $(p,q)$-Laplacian plus an indefinite potential term. In the reaction, we have the competing effects of a parametric concave (sublinear) term perturbed by a superlinear one (concave-convex ...
Eylem Öztürk, Nikolaos Papageorgiou
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Existence of nontrivial solutions for Schrodinger-Kirchhoff equations with indefinite potentials

Electronic Journal of Differential Equations, 2022
We consider a class of Schrodinger-Kirchhoff equations in R3 with a general nonlinearity g and coercive sign-changing potential V so that the Schrodinger operator -aΔ +V is indefinite. The nonlinearity considered here satisfies the Ambrosetti-Rabinowitz type condition g(t)t≥μ G(t)>0 with μ>3.
Shuai Jiang, Lifeng Yin
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