Results 61 to 70 of about 720 (91)
Existence and concentration behavior of positive solutions to Schrödinger-Poisson-Slater equations
Advances in Nonlinear Analysis, 2023 This article is directed to the study of the following Schrödinger-Poisson-Slater type equation: −ε2Δu+V(x)u+ε−α(Iα∗∣u∣2)u=λ∣u∣p−1uinRN,-{\varepsilon }^{2}\Delta u+V\left(x)u+{\varepsilon }^{-\alpha }\left({I}_{\alpha }\ast | u{| }^{2})u=\lambda | u{| }^{
Li Yiqing, Zhang Binlin, Han Xiumei
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, 2012 We consider a p-Laplacian system with critical nonlinearity in ℝ N . Under the proper assumptions, we obtain the existence of nontrivial solutions to perturbed p-Laplacian system by using the variational approach.MR Subject Classification: 35B33; 35J60 ...
Huixing Zhang, Wenbin Liu
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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
core
Advances in Nonlinear AnalysisIn this article, we consider the multiplicity of positive solutions for a static Schrödinger-Poisson-Slater equation of the type −Δu+u2∗1∣4πx∣u=μf(x)∣u∣p−2u+g(x)∣u∣4uinR3,-\Delta u+\left({u}^{2}\ast \frac{1}{| 4\pi x| }\right)u=\mu f\left(x){| u| }^{p-2 ...
Zheng Tian-Tian +2 more
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Existence for (p, q) critical systems in the Heisenberg group
Advances in Nonlinear Analysis, 2019 This paper deals with the existence of entire nontrivial solutions for critical quasilinear systems (𝓢) in the Heisenberg group ℍn, driven by general (p, q) elliptic operators of Marcellini types.
Pucci Patrizia, Temperini Letizia
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Advances in Nonlinear AnalysisLet Δk{\Delta }_{k} be the Dunkl generalized Laplacian operator associated with a root system RR of RN{{\mathbb{R}}}^{N}, N≥2N\ge 2, and a nonnegative multiplicity function kk defined on RR and invariant by the finite reflection group WW.
Jleli Mohamed +2 more
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Advances in Nonlinear AnalysisIn this article, we consider the following double critical fractional Schrödinger-Poisson system involving p-Laplacian in R3{{\mathbb{R}}}^{3} of the form: εsp(−Δ)psu+V(x)∣u∣p−2u−ϕ∣u∣ps♯−2u=∣u∣ps*−2u+f(u)inR3,εsp(−Δ)sϕ=∣u∣ps♯inR3,\left\{\begin{array}{l}{\
Liang Shuaishuai +2 more
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Early-life conditioning strategies to reduce dietary phosphorus in broilers: underlying mechanisms. [PDF]
J Nutr Sci, 2020 Valable AS +9 more
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Advanced Nonlinear StudiesIn this note, we obtain a classification result for positive solutions to the critical p-Laplace equation in Rn ${\mathbb{R}}^{n}$ with n ≥ 4 and p > p n for some number pn∈n3,n+13 ${p}_{n}\in \left(\frac{n}{3},\frac{n+1}{3}\right)$ such that pn∼n3+1n $
Vétois Jérôme
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Multiplicity of normalized solutions for nonlinear Choquard equations
Advanced Nonlinear StudiesIn this paper, we consider the following nonlinear Choquard equation with prescribed L 2-norm: −Δu+λu=Iα∗F(u)f(u) in RN,∫RN|u|2dx=a>0,u∈H1(RN), $\begin{cases}-{\Delta}u+\lambda u=\left({I}_{\alpha }\ast F\left(u\right)\right)f\left(u\right) \,\text{in}\,
Long Chun-Fei +3 more
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