Results 51 to 60 of about 65,671 (226)

The concentration-compactness principle for fractional Orlicz-Sobolev spaces

Complex Variables and Elliptic Equations
In this paper, we delve into the well-known concentration-compactness principle in fractional Orlicz-Sobolev spaces, and we apply it to establish the existence of a weak solution for a critical elliptic problem involving the fractional $g-$Laplacian.
Bahrouni, Sabri, Miyagaki, Olimpio
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Evaluation and modification of tumor cell isolation techniques from malignant effusions for rapid drug sensitivity testing

Molecular Oncology, EarlyView.
Non‐small cell lung cancer targeted treatment is limited to a few known genetic alterations, with few alternatives in advanced treatment lines. To direct treatment decisions by drug sensitivity testing (DST), this study compared several methods for tumor cell isolation from malignant effusions, pointing to repeated CD45+ cell depletion for effective ...
Navit Mooshayef, Hana Barhom, Sumit Chatterji, Netta Hecht, Oran Warhaftig, Iris Kamer, Oranit Zadok, Jair Bar, Limor Broday, Amir Onn, Michael Peled   +10 more
wiley   +1 more source

Concentration-compactness principle for embedding into multiple exponential spaces on unbounded domains [PDF]

Czechoslovak Mathematical Journal, 2015
Let Ω ⊂ ℝ n be a domain and let α < n − 1. We prove the Concentration-Compactness Principle for the embedding of the space W 0 1 L n log α
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Concentration-compactness principle of singular Trudinger–Moser inequality involving N-Finsler–Laplacian operator [PDF]

International Journal of Mathematics, 2020
In this paper, suppose [Formula: see text] be a convex function of class [Formula: see text] which is even and positively homogeneous of degree 1. We establish the Lions type concentration-compactness principle of singular Trudinger–Moser Inequalities involving [Formula: see text]-Finsler–Laplacian operator.
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Cytomegalovirus infection is common in prostate cancer and antiviral therapies inhibit progression in disease models

Molecular Oncology, EarlyView.
Human cytomegalovirus infection is common in normal prostate epithelium, prostate tumor tissue, and prostate cancer cell lines. CMV promotes cell survival, proliferation, and androgen receptor signaling. Anti‐CMV pharmaceutical compounds in clinical use inhibited cell expansion in prostate cancer models in vitro and in vivo, motivating investigation ...
Johanna Classon, Moa Stenudd, Margherita Zamboni, Kanar Alkass, Carl‐Johan Eriksson, Lars Pedersen, Alrik Schörling, Anna Thoss, Anders Bergh, Pernilla Wikström, Hans‐Olov Adami, Henrik Toft Sørensen, Henrik Druid, Jonas Frisén   +13 more
wiley   +1 more source

Concentration-compactness principle for mountain pass problems

, 2005
In the paper we show that critical sequences associated with the mountain pass level for semilinear elliptic problems on $\R^N$ converge when the non-linearity is subcritical, superlinear and satisfies the penalty condition $F_\infty(s)
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Association of high‐dose radioactive iodine therapy with PPM1D‐mutated clonal hematopoiesis in older individuals

Molecular Oncology, EarlyView.
In thyroid cancer patients, high‐dose (≥7.4 GBq) radioactive iodine therapy (RAIT) was associated with a higher prevalence of clonal hematopoiesis (variant allele frequency >2%) in individuals aged ≥50 years (OR = 2.44). In silico analyses showed that truncating PPM1D mutations conferred a selective advantage under these conditions.
Jaeryuk Kim, Sungwoo Bae, Jaeyong Choi, Sun‐Wha Im, Bukyoung Cha, Gyeongseo Jung, Sun Wook Cho, Eul‐Ju Seo, Young Ah Lee, Jin Chul Paeng, Young Joo Park, Jong‐Il Kim   +11 more
wiley   +1 more source

Machine learning for identifying liver and pancreas cancers through comprehensive serum glycopeptide spectra analysis: a case‐control study

Molecular Oncology, EarlyView.
This study presents a novel AI‐based diagnostic approach—comprehensive serum glycopeptide spectra analysis (CSGSA)—that integrates tumor markers and enriched glycopeptides from serum. Using a neural network model, this method accurately distinguishes liver and pancreatic cancers from healthy individuals.
Motoyuki Kohjima, Yuko Takami, Ken Kawabe, Kazuhiro Tanabe, Chihiro Hayashi, Mikio Mikami, Tetsuya Kusumoto   +6 more
wiley   +1 more source

Note on the concentration-compactness principle for generalized Moser-Trudinger inequalities

Open Mathematics, 2012
Abstract Let Ω ⊂ ℝn, n ≥ 2, be a bounded domain and let α < n − 1. Motivated by Theorem I.6 and Remark I.18 of [Lions P.-L., The concentration-compactness principle in the calculus of variations. The limit case. I, Rev. Mat. Iberoamericana, 1985, 1(1), 145–201] and by the results of [Černý R., Cianchi A., Hencl S., Concentration ...
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The Liouville Equation with Singular Data: A Concentration-Compactness Principle via a Local Representation Formula

Journal of Differential Equations, 2002
AbstractFor a bounded domain Ω⊂R2, we establish a concentration-compactness result for the following class of “singular” Liouville equations:−Δu=eu−4π∑j=1mαjδpj in Ω where pj∈Ω, αj>0 and δpj denotes the Dirac measure with pole at point pj, j=1,…,m. Our result extends Brezis–Merle's theorem (Comm.
BARTOLUCCI, DANIELE, TARANTELLO, GABRIELLA   +1 more
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