Results 21 to 30 of about 5,473,308 (246)
In this article, we investigate the boundary-value problem \begin{equation*} \begin{cases}x''(t)+h(t)f(x(t))=0,\quad t\in[0,1],\\ x(0)=\beta x'(0),\quad x(1)=x(\eta),\end{cases} \end{equation*} where $\beta\ge0$, $\eta\in(0,1)$, $f\in C([0,\infty ...
Ye Xue, Guowei Zhang
doaj +1 more source
Existence of Nontrivial Solutions for Boundary Value Problems of Fourth-Order Differential Equations
This article investigates the solvability problem of fourth-order differential equations with two-point boundary conditions; specifically, conclusions regarding sign-changing solutions are obtained.
Hongyu Li
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The Existence Result for a Class of p-Kirchhoff-Type Problem with a Multilinear Growth Nonlinearity
In this paper, we firstly discuss the existence of the least energy sign-changing solutions for a class of p-Kirchhoff-type problems with a (2p-1)-linear growth nonlinearity.
Jiangyan Yao, Wei Han
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Multiplicity results for sign-changing solutions of an operator equation in ordered Banach space [PDF]
summary:In this paper, we prove some multiplicity results for sign-changing solutions of an operator equation in an ordered Banach space. The methods to show the main results of the paper are to associate a fixed point index with a strict upper or lower ...
Amann, Herbert +4 more
core +1 more source
ABSTRACT As part of the European Cooperative Study Group for Paediatric Rare Tumours initiative, we developed standard clinical practice guidelines for ovarian sex cord stromal tumors, based on comprehensive national and international cohort analyses, literature review, and a final expert consensus conference.
Dominik T. Schneider +15 more
wiley +1 more source
Comparative Drug Response Profiling in Neuroblastoma Cell Lines and Patient‐Derived Tumor Organoids
ABSTRACT High‐risk neuroblastoma remains a leading cause of pediatric cancer mortality, and improved preclinical models are needed to guide therapeutic developments. We screened seven high‐risk neuroblastoma cell lines and three patient‐derived tumor organoids with 528 compounds alongside bone marrow controls, and compared them with external datasets ...
Krzysztof Wierbiłowicz +12 more
wiley +1 more source
Least energy nodal solutions for Kirchhoff-type problems involving the critical exponents
In this paper, we concern the existence of sign-changing solutions for the following Kirchhoff-type problems with critical growth: −a+b∫Ω|∇u|2dxΔu=μ|u|q−2u+|u|4uin Ω,u=0on ∂Ω.
Binlin Zhang, Junshan Tian, Xiumei Han
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A Sign-Changing Solution for a Superlinear Dirichlet Problem [PDF]
We show that a superlinear boundary value problem has at least three nontrivial solutions. A pair are of one sign (positive and negative, respectively), and the third solution changes sign exactly once. The critical level of the sign-changing solution is
Neuberger, John M +2 more
core
On sign-changing solutions for nonlinear operator equations [PDF]
In this paper, the existence of sign-changing solutions for nonlinear operator equations is discussed by using the topological degree and fixed point index theory. The main theorems are some new three-solution theorems which are different from the famous
Li, Fuyi +7 more
core +1 more source
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 +10 more
wiley +1 more source

