Results 51 to 60 of about 142,338 (258)
A computer assisted study of uniqueness of ground state solutions
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Philip Korman, Yi Li 0003
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ABSTRACT Background General pediatricians often evaluate hematologic and oncologic presentations before subspecialty consultation, yet the 2025 Accreditation Council for Graduate Medical Education (ACGME) pediatric requirements reduce inpatient pediatric hematology/oncology (PHO) time, raising questions about resident readiness.
Colburn Yu, Rohini Jain
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ABSTRACT Background Germ cell tumors (GCTs) often arise in the ovaries and testes (extracranial) but can also develop in the brain (intracranial). We examined the relationship of individual, family, and community‐level socioeconomic status (SES) with stage of disease at diagnosis in a cohort of pediatric patients with GCT from Children's Oncology Group
Heydon K. Kaddas +7 more
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Ground state sign-changing solutions for a class of quasilinear Schrödinger equations
In this paper, we consider the following quasilinear Schrödinger equation: −Δu+V(x)u+κ2Δ(u2)u=K(x)f(u),x∈RN,-\Delta u+V\left(x)u+\frac{\kappa }{2}\Delta \left({u}^{2})u=K\left(x)f\left(u),\hspace{1.0em}x\in {{\mathbb{R}}}^{N}, where N≥3N\ge 3, κ>0\kappa \
Zhu Wenjie, Chen Chunfang
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The Brezis–Nirenberg Problem for the Hénon Equation: Ground State Solutions [PDF]
Abstract This work is devoted to the Dirichlet problem for the equation −Δu = λu + |x|α|u| 2*−2 u in the unit ball of ℝ N . We assume that λ is bigger than the first eigenvalues of the laplacian, and we prove that there exists a ...
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ABSTRACT Neurodevelopmental and neurocognitive difficulties are prevalent among individuals with sickle cell disease and warrant prompt identification and support. This Special Report provides an executive summary of standards and recommendations for surveillance, screening, and evaluation for development and cognition across the lifespan developed by ...
Alyssa M. Schlenz +12 more
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Asymptotic Behavior of Ground State Radial Solutions for -Laplacian Problems
Let , we take up the existence, the uniqueness and the asymptotic behavior of a positive continuous solution to the following nonlinear problem in , , , , where , is a positive differentiable function in and is a positive continuous function in such ...
Sonia Ben Othman +2 more
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Ground state sign-changing solutions for Kirchhoff equations with logarithmic nonlinearity
In this paper, we study Kirchhoff equations with logarithmic nonlinearity: \begin{equation*} \begin{cases} -(a+b\int_\Omega|\nabla u|^2)\Delta u+ V(x)u=|u|^{p-2}u\ln u^2, & \mbox{in}\ \Omega,\\ u=0,& \mbox{on}\ \partial\Omega, \end{cases} \end{equation*}
Lixi Wen, Xianhua Tang, Sitong Chen
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Ground State Solutions for a Nonlocal System in Fractional Orlicz-Sobolev Spaces
We consider an elliptic system driven by the fractional a.-Laplacian operator, with Dirichlet boundary conditions type. By using the Nehari manifold approach, we get a nontrivial ground state solution on fractional Orlicz–Sobolev spaces.
Hamza El-Houari +2 more
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Ground state solutions for a nonlinear Choquard equation
We discuss the existence of ground state solutions for the Choquard equation $$-Δu=(I_α*F(u))F'(u)\quad\quad\quad\text{in }\mathbb R^N.$$ We prove the existence of solutions under general hypotheses, investigating in particular the case of a homogeneous nonlinearity $F(u)=\frac{|u|^p}p$. The cases $N=2$ and $N\ge3$ are treated differently in some steps.
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