Results 71 to 80 of about 579 (81)

Multiplicity of normalized semi-classical states for a class of nonlinear Choquard equations

Advances in Nonlinear Analysis
This article is concerned with the existence of multiple normalized solutions for a class of Choquard equations with a parametric perturbation −ε2Δu+V(x)u=λu+ε−α(Iα*F(u))f(u),x∈RN,∫RN∣u∣2dx=a2εN,\left\{\begin{array}{ll}-{\varepsilon }^{2}\Delta u+V\left ...
Wu Jinxia, He Xiaoming
doaj   +1 more source

A Symmetry problem for some quasi-linear equations in Euclidean space [PDF]

arXiv
We prove sharp asymptotic estimates for the gradient of positive solutions to certain nonlinear $p$-Laplace equations in Euclidean space by showing symmetry and uniqueness of positive solutions to associated limiting problems.
arxiv  

Optimal Functional Inequalities for Fractional Operators on the Sphere and Applications. [PDF]

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

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

Infinitely many solutions for Hamiltonian system with critical growth

Advances in Nonlinear Analysis
In this article, we consider the following elliptic system of Hamiltonian-type on a bounded domain:−Δu=K1(∣y∣)∣v∣p−1v,inB1(0),−Δv=K2(∣y∣)∣u∣q−1u,inB1(0),u=v=0on∂B1(0),\left\{\begin{array}{ll}-\Delta u={K}_{1}\left(| y| ){| v| }^{p-1}v,\hspace{1.0em ...
Guo Yuxia, Hu Yichen
doaj   +1 more source

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
doaj   +1 more source

Nasopharyngeal pneumococcal carriage rates among HIV-infected adults following widespread pediatric use of conjugate pneumococcal vaccine-13. [PDF]

Hum Vaccin Immunother, 2016
Feola TD, Bonville CA, Cibula DA, Jose S, Nattanmai G, Domachowske JB, Suryadevara M.   +6 more
europepmc   +1 more source

Patterns of genetic and morphometric diversity in baobab (Adansonia digitata) populations across different climatic zones of Benin (West Africa). [PDF]

Ann Bot, 2006
Assogbadjo AE, Kyndt T, Sinsin B, Gheysen G, van Damme P.   +4 more
europepmc   +1 more source

Concentration phenomena for a fractional relativistic Schrödinger equation with critical growth

Advances in Nonlinear Analysis
In this paper, we are concerned with the following fractional relativistic Schrödinger equation with critical growth: (−Δ+m2)su+V(εx)u=f(u)+u2s*−1inRN,u∈Hs(RN),u>0inRN,\left\{\begin{array}{ll}{\left(-\Delta +{m}^{2})}^{s}u+V\left(\varepsilon x)u=f\left(u)
Ambrosio Vincenzo
doaj   +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
doaj   +1 more source