Results 41 to 50 of about 320,316 (300)
Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation
Advances in Nonlinear Analysis, 2023 In this article, we study the fractional critical Choquard equation with a nonlocal perturbation: (−Δ)su=λu+α(Iμ*∣u∣q)∣u∣q−2u+(Iμ*∣u∣2μ,s*)∣u∣2μ,s*−2u,inRN,{\left(-{\Delta })}^{s}u=\lambda u+\alpha \left({I}_{{\mu }^{* }}\hspace{-0.25em}{| u| }^{q}){| u|
Lan Jiali, He Xiaoming, Meng Yuxi
doaj +1 more source
Ancient solutions of the affine normal flow [PDF]
Journal of Differential Geometry, 2008 A corrollary retracted, and a remark and some typos ...
Loftin, John, Tsui, Mao-Pei
openaire +3 more sources
Quasilinear Schr\"odinger equations: ground state and infinitely many normalized solutions
, 2021 In the present paper, we study the normalized solutions for the following quasilinear Schr\"odinger equations: $$-\Delta u-u\Delta u^2+\lambda u=|u|^{p-2}u \quad \text{in}~\mathbb R^N,$$ with prescribed mass $$\int_{\mathbb R^N} u^2=a^2.$$ We first ...
Li, Houwang, Zou, Wenming
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Equivalence of viscosity and weak solutions for the normalized p(x)-Laplacian
, 2018 We show that viscosity solutions to the normalized p(x)-Laplace equation coincide with distributional weak solutions to the strong p(x)-Laplace equation when p is Lipschitz and inf p > 1. This yields C 1,α regularity for the viscosity solutions of
Siltakoski, Jarkko, Jarkko Siltakoski
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Normalized solutions for the Klein–Gordon–Dirac system
Rendiconti Lincei, Matematica e Applicazioni, 2023 We prove the existence of a stationary solution for the system describing the interaction between an electron coupled with a massless scalar field (a photon). We find a solution, with fixed L^2 -norm, by variational methods, as a critical point of ...
Coti Zelati V., Nolasco M.
openaire +4 more sources
Pediatric Blood &Cancer, EarlyView.ABSTRACT Immune effector cell‐associated hemophagocytic lymphohistiocytosis‐like syndrome (IEC‐HS) is a life‐threatening hyperinflammatory toxicity distinct from cytokine release syndrome (CRS) and neurotoxicity following chimeric antigen receptor T‐cell (CAR‐T) therapy. In a single‐institution retrospective cohort of pediatric and young adult patients
Thomas J. Galletta +6 more
wiley +1 more source
The Role of Hematopoietic Cell Transplantation in Ataxia‐Telangiectasia
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Ataxia‐telangiectasia (A‐T) is a DNA repair disorder characterized by neurodegeneration, immunodeficiency, and cancer predisposition. Hematopoietic cell transplantation (HCT) is an established therapy in related disorders such as Fanconi anemia (FA) and Nijmegen breakage syndrome (NBS), but its role in A‐T is unclear.
Laila Alkhouli +3 more
wiley +1 more source
FEBS Letters, EarlyView.Enteropathogenic E. coli (EPEC) infects the human intestinal epithelium, resulting in severe illness and diarrhoea. In this study, we compared the infection of cancer‐derived cell lines with human organoid‐derived models of the small intestine. We observed a delayed in attachment, inflammation and cell death on primary cells, indicating that host ...
Mastura Neyazi +5 more
wiley +1 more source
An action approach to nodal and least energy normalized solutions for nonlinear Schrödinger equations [PDF]
We develop a new approach to the investigation of normalized solutions for nonlinear Schrödinger equations based on the analysis of the masses of ground states of the corresponding action functional.
De Coster, Colette +3 more
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FEBS Letters, EarlyView.This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva +5 more
wiley +1 more source