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The asymptotic behaviour of the ground state solutions for Hénon equation
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Cao, Daomin, Peng, Shuangjie
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ASSIST: Refinement of a Benefits Navigator Intervention Among Low‐Income Pediatric Oncology Families
ABSTRACT Background/Objectives Children with cancer living in poverty experience worse survival and quality of life. Interventions connecting low‐income families to benefits (e.g., Supplemental Nutrition Assistance Program [SNAP] improve health outcomes; yet nearly 50% of SNAP‐eligible pediatric oncology families are unenrolled.
Puja J. Umaretiya +11 more
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Existence and asymptotic behavior of solutions for Hénon type equations [PDF]
This paper is concerned with ground state solutions for the Hénon type equation \(-\Delta u(x)=|y|^{\alpha} u^{p-1}(x)\) in \(\Omega\), where \(\Omega=B^k(0,1)\times B^{n-k}(0,1)\subset \mathbb{R}^n\) and \(x=(y,z) \in \mathbb{R}^k \times \mathbb{R}^{n-k}
Wei Long, Jianfu Yang
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ABSTRACT Background Acute lymphoblastic leukaemia (ALL) is one of the most treatable forms of paediatric cancer; however, there is a substantial burden of treatment‐related toxicities (TRTs). In addition, the long‐term changes in children's health‐related quality of life (HRQoL) due to toxic treatments are not well understood.
Clare Ghows +19 more
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Ground state solutions of Kirchhoff-type fractional Dirichlet problem with p-Laplacian
We consider the Kirchhoff-type p-Laplacian Dirichlet problem containing the left and right fractional derivative operators. By using the Nehari method in critical point theory, we obtain the existence theorem of ground state solutions for such Dirichlet ...
Taiyong Chen, Wenbin Liu
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The main purpose of this paper is to establish the existence of ground-state solutions to a class of Schrödinger equations with critical exponential growth involving the nonnegative, possibly degenerate, potential V:
Chen Lu, Lu Guozhen, Zhu Maochun
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Ground state solutions for a fractional Schrödinger equation with critical growth [PDF]
In this paper we investigate the existence of nontrivial ground state solutions for the following fractional scalar field equation [Formula: see text] where [Formula: see text], [Formula: see text], [Formula: see text] is the fractional Laplacian, [Formula: see text] is a bounded potential satisfying suitable assumptions, and [Formula: see text] has ...
Vincenzo Ambrosio, Giovany M. Figueiredo
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ABSTRACT Neuroblastoma's complex, heterogeneous biology poses significant diagnostic and therapeutic challenges, often requiring caregivers to absorb complex information and participate in time‐sensitive decisions. However, caregivers often feel unprepared to evaluate options.
Vickie Buenger +8 more
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Ground state solutions for non-local fractional Schrodinger equations
In this article, we study a time-independent fractional Schrodinger equation with non-local (regional) diffusion $$ (-\Delta)^{\alpha}_{\rho}u + V(x)u = f(x,u) \quad \text{in }\mathbb{R}^{N}, $$ where $\alpha \in (0,1)$, $N > 2\alpha$.
Yang Pu, Jiu Liu, Chun-Lei Tang
doaj
Ground state solutions for the Hénon prescribed mean curvature equation
In this paper, we consider the analogous of the Hénon equation for the prescribed mean curvature problem in ℝN{{\mathbb{R}^{N}}}, both in the Euclidean and in the Minkowski spaces. Motivated by the studies of Ni and Serrin [W. M. Ni and J.
Azzollini Antonio
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