Estimates for the green function and existence of positive solutions for higher-order elliptic equations

“…<p>We establish a <mml:math alttext="$3G$"> <mml:mn>3</mml:mn> <mml:mi>G</mml:mi> </mml:math>-theorem for the iterated Green function of <mml:math alttext="$(-Delta )^{pm}$"> <mml:msup> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mo>&#8722;</mml:mo> <mml:mi>&#8710;</mml:mi> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> <mml:mrow> <mml:mi>p</mml:mi> <mml:mi>m</mml:mi> </mml:mrow> </mml:msup> </mml:math>, (<mml:math alttext="$pgeq 1$, $mgeq 1$"> <mml:mi>p</mml:mi> <mml:mo>&#8805;</mml:mo> <mml:mn>1</mml:mn> <mml:mo>,</mml:mo> <mml:mi>m</mml:mi> <mml:mo>&#8805;</mml:mo> <mml:mn>1</mml:mn> </mml:math>), on the unit ball <mml:math alttext="$B$"> <mml:mi>B</mml:mi> </mml:math> of <mml:math alttext="$mathbb{R}^{n}$"> <mml:mrow> <mml:msup> <mml:mi>&#8477;</mml:mi> <mml:mi>n</mml:mi> </mml:msup> </mml:mrow> </mml:math> <mml:math alttext="$(ngeq 1)$"> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mi>n</mml:mi> <mml:mo>&#8805;</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> with boundary conditions <mml:math alttext="$(partial/partial u) ^{j}(-Delta )^{km}u=0$"> <mml:msup> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mrow> <mml:mo>&#8706;</mml:mo> <mml:mo>/</mml:mo> <mml:mrow> <mml:mo>&#8706;</mml:mo> <mml:mi>&#957;</mml:mi> </mml:mrow> </mml:mrow> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> <mml:mi>j</mml:mi> </mml:msup> <mml:msup> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mo>&#8722;</mml:mo> <mml:mi>&#8710;</mml:mi> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> <mml:mrow> <mml:mi>k</mml:mi> <mml:mi>m</mml:mi> </mml:mrow> </mml:msup> <mml:mi>u</mml:mi> <mml:mo>=</mml:mo> <mml:mn>0</mml:mn> </mml:math> on <mml:math alttext="$partial B$"> <mml:mo>&#8706;</mml:mo> <mml:mi>B</mml:mi> </mml:math>, for <mml:math alttext="$0leq kleq p-1$"> <mml:mn>0</mml:mn> <mml:mo>&#8804;</mml:mo> <mml:mi>k</mml:mi> <mml:mo>&#8804;</mml:mo> <mml:mi>p</mml:mi> <mml:mo>&#8722;</mml:mo> <mml:mn>1</mml:mn> </mml:math> and <mml:math alttext="$0leq jleq m-1$"> <mml:mn>0</mml:mn> <mml:mo>&#8804;</mml:mo> <mml:mi>j</mml:mi> <mml:mo>&#8804;</mml:mo> <mml:mi>m</mml:mi> <mml:mo>&#8722;</mml:mo> <mml:mn>1</mml:mn> </mml:math>. …”
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VARLIK VE ÖZ- I by Murtaza Korlaelçi

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Renascimento da geografia regional by Confins

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A Comprehensive Review of Direction-of-Arrival Estimation and Localization Approaches in Mixed-Field Sources Scenario by Amir Masoud Molaei, Bijan Zakeri, Seyed Mehdi Hosseini Andargoli, Muhammad Ali Babar Abbasi, Vincent Fusco, Okan Yurduseven

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Asociación entre el síndrome metabólico y los niveles de transaminasas by David Vicente Trujillo Salazar, Víctor Juan Vera-Ponce, Jenny Raquel Torres-Malca, Jesús Enrique Talavera, Magdiel José Manuel Gonzales Menéndez, Jhony A. De La Cruz-Vargas

“…Para definir aspartato aminotransaminasa elevada se consideraron valores > 30 U/L en mujeres y valores > 36 U/L en hombres. Para alanina aminotransaminasa, se consideraron valores > 30 U/L en mujeres y valores > 40 U/L en hombres. …”
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Refinement of the co-content function, through an integration of a polynomial fit of $$I-{I}_{sc}$$ I - I sc . Part 1 theoretical analysis and proposal by Victor-Tapio Rangel-Kuoppa

“…$${I}_{sat}$$ I sat needs $${p}_{n}=0.05\text{\%}$$ p n = 0.05 \% or less, and $${P}_{V}$$ P V equal or larger than 501 $$\frac{number\, of\, points}{V}$$ n u m b e r o f p o i n t s V . For the latter case, $${R}_{s}$$ R s , $$\text{and } {I}_{lig},$$ and I lig , can be obtained with less than 10% error, using only $${P}_{V}=$$ P V = 251 $$\frac{number\, of\, points}{V}$$ n u m b e r o f p o i n t s V , and $${p}_{n}=0.1\text{\%}$$ p n = 0.1 \% , or smaller, with total computation time around 49 s. …”
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The Return of Inorganic Substance Poisoning as a Method of Suicide. An Analysis of Autopsy Reports from 2018-2023 with a Discussion of the Phenomenon = Powrót zatruć substancjami n... by Łukasz Marczyk, Marcin Skorupa, Kacper Gil, Bartłomiej Cytlau, Joanna Augustyn, Aleksandra Łach, Tomasz Konopka

“…U 13 osób w tej grupie stwierdzono sino lub szaro zabarwione plamy opadowe. …”
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Brain Age Prediction Using a Lightweight Convolutional Neural Network by Fatma Eltashani, Mario Parreno-Centeno, James H. Cole, Joao Paulo Papa, Fumie Costen

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Oura Ring as a Tool for Ovulation Detection: Validation Analysis by Nina Thigpen, Shyamal Patel, Xi Zhang

“…Abnormally long cycle lengths were associated with decreased accuracy (U=22,383, P=.03), with a mean absolute error of 1.7 (SEM .09) days compared with 1.18 (SEM .02) days. …”
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Unburned habitat essential for amphibian breeding persistence following wildfire by Larissa L. Bailey, Richard Henderson, Wendy A. Estes-Zumpf, Charles C. Rhoades, Ellie Miller, Dominique Lujan, Erin Muths

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An electrolyte-gated transistor for the monitoring of a CRISPR/Cas activity by Pierre Guermonprez, Le Tu Anh, Louis Renaud, Pierre Nioche, Eric Krejci, Aurélie Alleaume-Butaux, Nicolas Battaglini, Vu Thi Thu, Sébastien Sanaur, Benoît Piro

“…In these devices, fabricated on flexible plastic substrates, the active material (reduced graphene oxide, rGO) is deposited by printing and then functionalized with Au nanoparticles decorated with polyU RNA reporter strands. In this system, the CRISPR/Cas13a complex acts as a catalyst: in the presence of a specific RNA target sequence, the enzymatic function is activated and the polyU RNA reporter strands are cleaved from the Au nanoparticles, inducing a loss of negative charges on the rGO layer. …”
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Effect and Safety of Transcutaneous Auricular Vagus Nerve Stimulation on Recovery of Upper Limb Motor Function in Subacute Ischemic Stroke Patients: A Randomized Pilot Study by Dandong Wu, Jingxi Ma, Liping Zhang, Sanrong Wang, Botao Tan, Gongwei Jia

“…Significant improvements in FMA-U score were found between groups at follow-up. …”
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Alteration of Sarcoplasmic Reticulum Ca2+ Release in Skeletal Muscle from Calpain 3-Deficient Mice by Govindan Dayanithi, Isabelle Richard, Cédric Viero, Elsa Mazuc, Sylvie Mallie, Jean Valmier, Nathalie Bourg, Muriel Herasse, Isabelle Marty, Gérard Lefranc, Paul Mangeat, Stephen Baghdiguian

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Rabies vaccinations at the rural–urban divide: successes and barriers to dog rabies vaccination programs from a rural and urban campaign in Zambia by Ricky Chazya, Chilufya Aneta Susan Mulenga, Andrew D. Gibson, Frederic Lohr, Cassandra Boutelle, Sarah Bonaparte, Oline Sinywibulula, Gareth Thomas, Patricia Bwalya, George Dautu, Linous Munsimbwe, Geoffrey Muuka, Luke Gamble, Ryan M. Wallace, Michelle A. Waltenburg

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GFAPβ and GFAPδ Isoforms Expression in Mesenchymal Stem Cells, MSCs Differentiated Towards Schwann-like, and Olfactory Ensheathing Cells by Nidia Jannette Carrillo González, Gabriela Stefania Reyes Gutierrez, Tania Campos-Ordoñez, Rubén D. Castro-Torres, Carlos Beas Zárate, Graciela Gudiño-Cabrera

“…Then, we found the expression of GFAP isoforms (α, β, and δ) in the three conditions; the expression of the GFAPα (10.95%AUC) and GFAPβ (9.17%AUC) isoforms was predominantly in OECs, followed by dBM-MSCs (α: 3.99%AUC, β: 5.66%AUC) and uBM-MSCs (α: 2.47%AUC, β: 2.97%AUC). GFAPδ isoform has a similar expression in the three groups (OEC: 9.21%AUC, dBM-MSCs: 11.10%AUC, uBM-MSCs: 9.21%AUC). …”
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BSA-Assisted Synthesis of Au Nanoclusters/MnO₂ Nanosheets for Fluorescence “Switch-On” Detection of Alkaline Phosphatase by Yijiong Xue, Chengqi Bao, Hui Liu, Fanghui Ma, Minghui Yang, Xiaoqing Li

“…Moreover, the assay exhibits a broad linear range (0.005 U/mL to 8 U/mL) for ALP detection with a remarkable limit of detection of 0.0015 U/mL. …”
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Attitudes of healthcare workers at a District in KwaZulu-Natal regarding institutionalisation of antimicrobial stewardship by Andile P. Dlungele, Lehlohonolo J. Mathibe

“…Conclusion: Healthcare workers in public healthcare settings in the uMgungundlovu District knew how crucial their roles were in reducing AMR. …”
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