Results 71 to 80 of about 984 (92)

Existence and concentration of solutions for a fractional Schrödinger–Poisson system with discontinuous nonlinearity

open access: yesAdvanced Nonlinear Studies
In 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
doaj   +1 more source

Multiple Solutions for Superlinear Fractional Problems via Theorems of Mixed Type

open access: yesAdvanced Nonlinear Studies, 2018
In this paper, we investigate the existence of multiple solutions for the following two fractional problems:
Ambrosio Vincenzo
doaj   +1 more source

Multiple solutions for a fractional $p$-Laplacian equation with sign-changing potential

open access: yes, 2016
We use a variant of the fountain Theorem to prove the existence of infinitely many weak solutions for the following fractional p-Laplace equation (-\Delta)^{s}_{p}u+V(x)|u|^{p-2}u=f(x,u) in R^N, where $s \in (0,1)$,$ p \geq 2$,$ N \geq 2$, $(-\Delta)^{s ...
Ambrosio, Vincenzo
core  

Standing-wave solutions to a system of non-linear Klein–Gordon equations with a small energy/charge ratio

open access: yesAdvances in Nonlinear Analysis, 2014
We prove the existence of standing-wave solutions to a system of non-linear Klein–Gordon equations on ℝN with N ≥ 3. Our solutions are characterised by a small energy/charge ratio, appropriately defined.
Garrisi Daniele
doaj   +1 more source

Existence and multiplicity of entire solutions for fractional p-Kirchhoff equations

open access: yesAdvances in Nonlinear Analysis, 2016
The purpose of this paper is mainly to investigate the existence of entire solutions of the stationary Kirchhoff type equations driven by the fractional p-Laplacian operator in ℝN.
Pucci Patrizia   +2 more
doaj   +1 more source

Degenerate Elastic Networks. [PDF]

open access: yesJ Geom Anal, 2021
Del Nin G, Pluda A, Pozzetta M.
europepmc   +1 more source

Infinitely many normalized solutions for Schrödinger equations with local sublinear nonlinearity

open access: yesDemonstratio Mathematica
In this article, we investigate the following Schrödinger equation: −Δu=h(x)g(u)+λuinRN,∫RN∣u∣2dx=au∈H1(RN),\left\{\begin{array}{ll}-\Delta u=h\left(x)g\left(u)+\lambda u\hspace{1.0em}& \hspace{-0.2em}\text{in}\hspace{0.1em}\hspace{0.33em}{{\mathbb{R}}}^{
Xu Qin, Li Gui-Dong
doaj   +1 more source

A uniqueness result for the fractional Schrödinger-Poisson system with strong singularity

open access: yesOpen Mathematics
This article considers existence of solution for a class of fractional Schrödinger-Poisson system. By using the Nehari method and the variational method, we obtain a uniqueness result for positive solutions.
Wang Li   +4 more
doaj   +1 more source

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