Results 21 to 30 of about 248,226 (264)

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

Concentration of ground state solutions for fractional Hamiltonian systems [PDF]

Topological Methods in Nonlinear Analysis, 2017
In this paper we are concerned with the existence of ground states solutions for the following fractional Hamiltonian systems $$ \left\{ \begin{array}{ll} -_tD^α_\infty(_{-\infty}D^α_t u(t)) - λL(t)u(t)+\nabla W(t,u(t))=0,\\[0.1cm] u \in H^α(\mathbb{R},\mathbb{R}^n), \end{array} \right.\qquad(\hbox{FHS})_λ$$ where $α\in (1/2,1)$, $t\in \mathbb{R}$, $u ...
Torres, César, Zhang, Ziheng
openaire   +3 more sources

Ground state and non-ground state solutions of some strongly coupled elliptic systems [PDF]

Transactions of the American Mathematical Society, 2011
We study an elliptic system of the form L u = |
Bonheure, Denis, Moreira dos Santos, Ederson, Ramos, Miguel   +2 more
openaire   +2 more sources

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

GROUND STATE SOLUTION FOR A CLASS FRACTIONAL HAMILTONIAN SYSTEMS

Journal of Applied Analysis & Computation, 2018
Summary: In this paper, we consider a class of Hamiltonian systems of the form \(_tD_\infty^\alpha(_{-\infty} D_t^\alpha u(t))+L(t) u(t)-\nabla W(t,u(t))=0\) where \(\alpha\in(\frac{1}{2},1)\), \(_{-\infty}D_t^\alpha\) and \(_tD_\infty^\alpha\) are left and right Liouville-Weyl fractional derivatives of order \(\alpha\) on the whole axis \(R ...
Lv, Ying, Tang, Chunlei, Guo, Boling
openaire   +2 more sources

Ground state solutions of inhomogeneous Bethe equations [PDF]

SciPost Physics, 2018
The distribution of Bethe roots, solution of the inhomogeneous Bethe equations, which characterize the ground state of the periodic XXX Heisenberg spin- \frac{1}{2} 1
Belliard, Samuel, Faribault, Alexandre
openaire   +3 more sources

Clinical and Biological Features of Response in Resistant Neuroblastoma to 131I‐Metaiodobenzylguanidine Radiotherapy in the Anti‐GD2 Immunotherapy Era

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background 131I‐metaiodobenzylguanidine (131I‐MIBG) radiotherapy is a key treatment for relapsed and refractory (R/R) neuroblastoma (NB). Patients with R/R disease treated in the modern era are increasingly exposed to anti‐GD2 immunotherapy, which exerts selective pressure and may modify both tumor cell state and microenvironment.
Benjamin J. Lerman, Katherine K. Matthay, Fabienne Hollinger, Catriona Black, Ann A. Lazar, Miguel Pampaloni, Steven G. DuBois, Kieuhoa T. Vo   +7 more
wiley   +1 more source

Hospitalization Through Families’ Eyes: Comparing Inpatient Care Quality for Children With Sickle Cell Disease and Cystic Fibrosis in Canada

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Sickle cell disease (SCD) is a chronic, inherited hemoglobinopathy that requires frequent hospitalization for disease‐related complications. Canadian data on inpatient care is limited. This study compared caregiver‐reported hospital experiences of children with SCD to those with cystic fibrosis (CF), a chronic, autosomal recessive ...
Hailey M. Zwicker, Kyle Kemp, Perri Tutelman, Sharon H. J. Hou, Paul Fairie, Maria Santana, Gregory M. T. Guilcher, Taryn Fay‐McClymont, Glenda Bendiak, Wendy Pelletier, Nicola Wright, Fiona Schulte   +11 more
wiley   +1 more source

Ground State Solution of Pohožaev Type for Quasilinear Schrödinger Equation Involving Critical Exponent in Orlicz Space

Mathematics, 2019
We study the following quasilinear Schrödinger equation involving critical exponent − Δ u + V ( x ) u − Δ ( u 2 ) u = A ( x ) | u | p − 1 u + λ B ( x ) u 3 N + 2 N − 2 , u ( x
Jianqing Chen, Qian Zhang
doaj   +1 more source

Heterogeneity in the Global Practice of Central Nervous System Staging in Pediatric Acute Lymphoblastic Leukemia

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Central nervous system (CNS) involvement in childhood acute lymphoblastic leukemia (ALL) is assessed by cell counting and cytomorphology from cerebrospinal fluid (CSF) and is used for treatment stratification worldwide. The ratio of “CNS2” patients in clinical trials ranges from 3% to 40%, with unclear prognostic significance ...
Laura Almási, Bernadett Borbála Huszti, Gábor Barna, Marko Kavcic, Janez Jazbec, Lennart Lenk, Vera Münch, Sophia Polychronopoulou, Ágnes Márk, Maria Thastrup, Lüder H. Meyer, Kjeld Schmiegelow, Cornelia Eckert, Christina Halsey, Dániel J. Erdélyi   +14 more
wiley   +1 more source