Results 11 to 20 of about 21,392,187 (250)

Asymptotic behavior of ground state solution for Henon type systems [PDF]

Electronic Journal of Differential Equations, 2010
In this article, we investigate the asymptotic behavior of positive ground state solutions, as $alphaoinfty$, for the following Henon type system $$ -Delta u=frac{2p}{p+q}|x|^alpha u^{p-1}v^q,quad -Delta v=frac{2q}{p+q}|x|^alpha u^pv^{q-1},quad hbox{
Ying Wang, Jianfu Yang
doaj   +2 more sources

Old State House cupola on ground

, 1975
This negative shows the cupola removed from the Old State House on the ground in front of the building. Workers and a crane are visible.
Department of State, Delaware Public Archives
core   +14 more sources

Ground state solution of a nonlocal boundary-value problem

Electronic Journal of Differential Equations, 2013
In this article, we apply the Nehari manifold method to study the Kirchhoff type equation $$ -\Big(a+b\int_\Omega|\nabla u|^2dx\Big)\Delta u=f(x,u) $$ subject to Dirichlet boundary conditions.
Cyril Joel Batkam
doaj   +1 more source

Multiple positive solutions for nonlinear coupled fractional Laplacian system with critical exponent

Boundary Value Problems, 2018
In this paper, we study the following critical system with fractional Laplacian: {(−Δ)su+λ1u=μ1|u|2∗−2u+αγ2∗|u|α−2u|v|βin Ω,(−Δ)sv+λ2v=μ2|v|2∗−2v+βγ2∗|u|α|v|β−2vin Ω,u=v=0in RN∖Ω, $$\textstyle\begin{cases} (-\Delta)^{s}u+\lambda_{1}u=\mu_{1}|u|^{2^{\ast}-
Maoding Zhen, Jinchun He, Haoyuan Xu, Meihua Yang   +3 more
doaj   +1 more source

Fractional p&q-Laplacian problems with potentials vanishing at infinity [PDF]

Opuscula Mathematica, 2020
In this paper we prove the existence of a positive and a negative ground state weak solution for the following class of fractional \(p\&q\)-Laplacian problems \[\begin{aligned} (-\Delta)_{p}^{s} u + (-\Delta)_{q}^{s} u + V(x) (|u|^{p-2}u + |u|^{q-2}u)= K(
Teresa Isernia
doaj   +1 more source

Existence of sign-changing solution with least energy for a class of Kirchhoff-type equation in $\mathbb{R}^N$

Electronic Journal of Qualitative Theory of Differential Equations, 2017
We consider the existence of least energy sign-changing (nodal) solution of Kirchhoff-type elliptic problems with general nonlinearity. Using a truncated technique and constrained minimization on the nodal Nehari manifold, we obtain that the Kirchhoff ...
Xianzhong Yao, Chunlai Mu
doaj   +1 more source

Quantum spin spiral ground state of the ferrimagnetic sawtooth chain

, 2022
The publication contains the dataset which is a supplemental material for the paper "Quantum spin spiral ground state of the ferrimagnetic sawtooth chain" (arXiv preprint arXiv:2207.08273).
Rausch, Roman
core   +1 more source

Central Nervous System Tumors Among Infants in Canada: A Report From CYP‐C

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Central nervous system (CNS) tumors in infants are rare, pose unique clinical challenges, and lack large‐scale evidence‐based data to guide management. This study seeks to describe CNS tumors in Canadian infants and to compare their outcomes with those of older children.
Samuel Sassine, Hallie Coltin, Sylvia Cheng, Lucie Lafay‐Cousin, Vanan Issai Magimairajan, Craig Erker, Stéphanie Vairy, Lynette Bowes, Adam Fleming, Donna Johnston, Sarah McKillop, Roona Sinha, Julie Bennett, Christina Coleman, Laura Wheaton, Shayna Zelcer, Samuele Renzi, Thai Hoa Tran   +17 more
wiley   +1 more source

Ground state for Choquard equation with doubly critical growth nonlinearity

Electronic Journal of Qualitative Theory of Differential Equations, 2019
In this paper we consider nonlinear Choquard equation \begin{equation*} -\Delta u+V(x)u=(I_\alpha*F(u))f(u)\quad {\rm in}\ \mathbb{R}^{N}, \end{equation*} where $V\in C(\mathbb{R}^N)$, $I_\alpha$ denotes the Riesz potential, $f(t)=|t|^{p-2}t+|t|^{q-2}t ...
Fuyi Li, Lei Long, Yongyan Huang, Zhanping Liang   +3 more
doaj   +1 more source

Retrospective Analysis of Donor Lymphocyte Infusions in Pediatric Patients With Mixed Chimerism After Hematopoietic Stem Cell Transplantation

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Allogeneic hematopoietic stem cell transplantation (alloHSCT) is an essential therapy for several malignant and nonmalignant diseases, but relapse and graft loss remain the principal threats to its success. Routine monitoring of chimerism and minimal residual disease (MRD) enables early detection of imminent recurrence and guides ...
Carmen Junk, Sebastian Michaelis, Michaela Döring, Thomas Eichholz, Ursula Holzer, Martin Ebinger, Tim Flaadt, Rupert Handgretinger, Peter Lang, Jan Frederic Weller, Markus Mezger   +10 more
wiley   +1 more source