Results 41 to 50 of about 109 (76)

A note on the classification of positive solutions to the critical p-Laplace equation in Rn ${\mathbb{R}}^{n}$

Advanced Nonlinear Studies
In 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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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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Early-life conditioning strategies to reduce dietary phosphorus in broilers: underlying mechanisms. [PDF]

J Nutr Sci, 2020
Valable AS, Létourneau-Montminy MP, Klein S, Lardic L, Lecompte F, Metayer-Coustard S, Même N, Page G, Duclos MJ, Narcy A.   +9 more
europepmc   +1 more source

On semilinear inequalities involving the Dunkl Laplacian and an inverse-square potential outside a ball

Advances in Nonlinear Analysis
Let 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, Samet Bessem, Vetro Calogero   +2 more
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Concentrating solutions for double critical fractional Schrödinger-Poisson system with p-Laplacian in ℝ3

Advances in Nonlinear Analysis
In 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, Song Yueqiang, Shi Shaoyun   +2 more
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Multiplicity of normalized solutions for nonlinear Choquard equations

Advanced Nonlinear Studies
In 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, Deng Chonghao, Li Gui-Dong, Tang Chun-Lei   +3 more
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Optimal Functional Inequalities for Fractional Operators on the Sphere and Applications. [PDF]

Adv Nonlinear Stud, 2016
Dolbeault J, Zhang A.
europepmc   +1 more source

Existence of positive solutions for critical p-Laplacian equation with critical Neumann boundary condition

Advances in Nonlinear Analysis
In this article, we consider the existence and nonexistence of positive solutions for the following critical Neumann problem: −Δpu+λup−1=up*−1+f(x,u),x∈Ω;∣∇u∣p−2∇u⋅ν=up♯−1,x∈∂Ω,\left\{\begin{array}{ll}-{\Delta }_{p}u+\lambda {u}^{p-1}={u}^{{p}^{* }-1}+f ...
Deng Yinbin, Shi Yulin, Xu Liangshun
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Classification of stable solutions for non-homogeneous higher-order elliptic PDEs. [PDF]

J Inequal Appl, 2017
Harrabi A, Rahal B, Hamdani MK.
europepmc   +1 more source

Classification results of Liouville equations and rigidity of Riemannian surfaces

Advanced Nonlinear Studies
We study the Liouville equation △u + e 2u = 0 in a Riemannian surface (M, g) with nonnegative Ricci curvature. Under some asymptotic lower bound assumptions, we classify all the solutions to this equation, meanwhile we obtain the rigidity results for ...
Ou Qianzhong
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