Advanced Nonlinear StudiesIn this paper, we study the following fractional Schrödinger–Poisson system with discontinuous nonlinearity:ε2s(−Δ)su+V(x)u+ϕu=H(u−β)f(u),inR3,ε2s(−Δ)sϕ=u2,inR3,u>0,inR3, $$\begin{cases}^{2s}{\left(-{\Delta}\right)}^{s}u+V\left(x\right)u+\phi u=H\left(u-\
Mu Changyang, Yang Zhipeng, Zhang Wei
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Poly(dA:dT) Tracts Differentially Modulate Nucleosome Remodeling Activity of RSC and ISW1a Complexes, Exerting Tract Orientation-Dependent and -Independent Effects. [PDF]
Int J Mol Sci, 2023 Amigo R +4 more
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Bubbles clustered inside for almost-critical problems
Open MathematicsWe investigate the existence of blowing-up solutions of the following almost-critical problem: −Δu+V(x)u=up−ε,u>0inΩ,u=0on∂Ω,-\Delta u+V\left(x)u={u}^{p-\varepsilon },\hspace{1.0em}u\gt 0\hspace{0.25em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\
Ayed Mohamed Ben, El Mehdi Khalil
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Multiple Solutions for Superlinear Fractional Problems via Theorems of Mixed Type
Advanced Nonlinear Studies, 2018 In this paper, we investigate the existence of multiple solutions for the following two fractional problems:
Ambrosio Vincenzo
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A Simplified Convex Optimization Model for Image Restoration with Multiplicative Noise. [PDF]
J Imaging, 2023 Che H, Tang Y.
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Efficient numerical approximation of a non-regular Fokker-Planck equation associated with first-passage time distributions. [PDF]
BIT Numer Math, 2022 Boehm U, Cox S, Gantner G, Stevenson R.
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Degenerate Elastic Networks. [PDF]
J Geom Anal, 2021 Del Nin G, Pluda A, Pozzetta M.
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Ground states for a fractional scalar field problem with critical growth
, 2016 We prove the existence of a ground state solution for the following fractional scalar field equation $(-\Delta)^{s} u= g(u)$ in $\mathbb{R}^{N}$ where $s\in (0,1), N> 2s$,$ (-\Delta)^{s}$ is the fractional Laplacian, and $g\in C^{1, \beta}(\mathbb{R ...
Ambrosio, Vincenzo
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Singularly Perturbed Fractional Schrödinger Equation Involving a General Critical Nonlinearity
Advanced Nonlinear Studies, 2018 In this paper, we are concerned with the existence and concentration phenomena of solutions for the following singularly perturbed fractional Schrödinger problem:
Jin Hua, Liu Wenbin, Zhang Jianjun
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Standing waves for Choquard equation with noncritical rotation
Advances in Nonlinear AnalysisWe investigate the existence and stability of standing waves with prescribed mass c>0c\gt 0 for Choquard equation with noncritical rotation in Bose-Einstein condensation. Then, we consider the mass collapse behavior of standing waves, the ratio of energy
Mao Yicen, Yang Jie, Su Yu
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