General existence principles for nonlocal boundary value problems with <mml:math alttext="$PHI$"> <mml:mi>&#x03C6;</mml:mi> </mml:math>-laplacian and their appl...

“…<p>The paper presents general existence principles which can be used for a large class of nonlocal boundary value problems of the form <mml:math alttext="$(phi(x'))'=f_1(t,x,x')+f_2(t,x,x')F_1x+f_3(t,x,x')F_2x$,$alpha(x)=0$"> <mml:mrow> <mml:msup> <mml:mrow> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mi>&#x03C6;</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:msup> <mml:mi>x</mml:mi> <mml:mo>&#x2032;</mml:mo> </mml:msup> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> <mml:mo>&#x2032;</mml:mo> </mml:msup> <mml:mo>=</mml:mo> <mml:msub> <mml:mi>f</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mi>t</mml:mi> <mml:mo>,</mml:mo> <mml:mi>x</mml:mi> <mml:mo>,</mml:mo> <mml:msup> <mml:mi>x</mml:mi> <mml:mo>&#x2032;</mml:mo> </mml:msup> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>+</mml:mo> <mml:msub> <mml:mi>f</mml:mi> <mml:mn>2</mml:mn> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mi>t</mml:mi> <mml:mo>,</mml:mo> <mml:mi>x</mml:mi> <mml:mo>,</mml:mo> <mml:msup> <mml:mi>x</mml:mi> <mml:mo>&#x2032;</mml:mo> </mml:msup> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> <mml:msub> <mml:mi>F</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mi>x</mml:mi> <mml:mo>+</mml:mo> <mml:msub> <mml:mi>f</mml:mi> <mml:mn>3</mml:mn> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mi>t</mml:mi> <mml:mo>,</mml:mo> <mml:mi>x</mml:mi> <mml:mo>,</mml:mo> <mml:msup> <mml:mi>x</mml:mi> <mml:mo>&#x2032;</mml:mo> </mml:msup> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> <mml:msub> <mml:mi>F</mml:mi> <mml:mn>2</mml:mn> </mml:msub> <mml:mi>x</mml:mi> <mml:mo>,</mml:mo> <mml:mi>&#x03B1;</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>=</mml:mo> <mml:mn>0</mml:mn> </mml:mrow> </mml:math>, <mml:math alttext="$eta(x)=0$"> <mml:mi>&#x03B2;</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>=</mml:mo> <mml:mn>0</mml:mn> </mml:math>, where <mml:math alttext="$f_j$"> <mml:msub> <mml:mi>f</mml:mi> <mml:mi>j</mml:mi> </mml:msub> </mml:math> satisfy local Carathéodory conditions on some <mml:math alttext="$[0,T]imesmathcal{D}_jsubset R^2$"> <mml:mrow> <mml:mo>[</mml:mo> <mml:mrow> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mi>T</mml:mi> </mml:mrow> <mml:mo>]</mml:mo> </mml:mrow> <mml:mo>&#x00D7;</mml:mo> <mml:msub> <mml:mi>&#x1D49F;</mml:mi> <mml:mi>j</mml:mi> </mml:msub> <mml:mo>&#x2282;</mml:mo> <mml:msup> <mml:mi>&#x211D;</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math>, <mml:math alttext="$f_j$"> <mml:msub> <mml:mi>f</mml:mi> <mml:mi>j</mml:mi> </mml:msub> </mml:math> are either regular or have singularities in their phase variables <mml:math alttext="$(j=1,2,3)$"> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mi>j</mml:mi> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> <mml:mo>,</mml:mo> <mml:mn>2</mml:mn> <mml:mo>,</mml:mo> <mml:mn>3</mml:mn> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> </mml:math>, <mml:math alttext="$F_i: C^1[0,T] ightarrow C^0[0,T]$ $(i=1,2)$"> <mml:mrow> <mml:msub> <mml:mi>F</mml:mi> <mml:mi>i</mml:mi> </mml:msub> <mml:mo>:</mml:mo> <mml:msup> <mml:mi>C</mml:mi> <mml:mn>1</mml:mn> </mml:msup> <mml:mrow> <mml:mo>[</mml:mo> <mml:mrow> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mi>T</mml:mi> </mml:mrow> <mml:mo>]</mml:mo> </mml:mrow> <mml:mo>&#x2192;</mml:mo> <mml:msup> <mml:mi>C</mml:mi> <mml:mn>0</mml:mn> </mml:msup> <mml:mrow> <mml:mo>[</mml:mo> <mml:mrow> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mi>T</mml:mi> </mml:mrow> <mml:mo>]</mml:mo> </mml:mrow> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mi>i</mml:mi> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> <mml:mo>,</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math>, and <mml:math alttext="$alpha,eta:C^1[0,T] ightarrowR$"> <mml:mrow> <mml:mi>&#x03B1;</mml:mi> <mml:mo>,</mml:mo> <mml:mi>&#x03B2;</mml:mi> <mml:mo>:</mml:mo> <mml:msup> <mml:mi>C</mml:mi> <mml:mn>1</mml:mn> </mml:msup> <mml:mrow> <mml:mo>[</mml:mo> <mml:mrow> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mi>T</mml:mi> </mml:mrow> <mml:mo>]</mml:mo> </mml:mrow> <mml:mo>&#x2192;</mml:mo> <mml:mi>&#x211D;</mml:mi> </mml:mrow> </mml:math> are continuous. …”
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Blood and Iron: The Rise and Fall of the German Empire 1871 – 1918 by Arzu Melek Ozgumus

“…While these developments increase the national wealth, but this was not reflected in people’s purchasing power. The working class becomes poorer, despite bankers, mostly Jews, becomes richer. …”
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A Pattern for Iron Ore Mines Financing by Mehdi Ali Hosseini, Mohammad Hashem Botshekan, Amir Hossein Mozayani, Moslem Peymanifurushani

“…At this stage, the final number of themes along with their class is concluded. In addition, based on the analysis of the output of this software, a conceptual model of mining financing was extracted, which shows all the components affecting the country's mining financing system.To validate the model, experts were asked through a researcher-made questionnaire. …”
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Evaluation of the needs assessment process of the training courses for the staff of the general sports and youth departments by Shahin Hayati, Haleh Fazel, Lora Chapari

“…Cigularo & Dilulio (2020) states that factors such as the inappropriateness of the time of holding classes and the inappropriateness of the training place in terms of distance are among the most important problems raised by learners participating in training courses. …”
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Investigating the mediating role of academic self-sufficiency and basic psychological needs in the relationship of social skills and social intelligence with academic achievement by Fatimeh Sabih Mahdi, Hasan ghalavandi

“…Academic progress is used as one of the indicators of progress in the education system, the concept of "doing homework and students' success in passing the courses of a specific academic level", or "students' success in learning course material". …”
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Within Satisfaction and Distress: Characterizing the First Cultural Transition of Young Talented Cameroonian Footballers by Boris Tachom Waffo, Denis Hauw

“…Transnational mobility has become a highly valuable commodity making transnational football career an inescapable pathway to either professional level or world-class level. Therefore, understanding cross-borders sports mobility processes is crucial for both players and stakeholders to effectively prepare and negotiate cultural transitions. …”
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Seawater-originated fluids interactions with oceanic lithospheric mantle peridotites and formation of hornblendite dykes, as well as spadaite and dolomite veins in the Naein ophiol... by Fatemeh Naderi, Ghodrat Torabi, Nargess Shirdashtzadeh

“…In this ophiolite, the mantle peridotites cross cut by greenish, coarse-grained hornblendite dykes with up to 50 cm width. …”
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Presenting the model of work and technology curriculum in secondary schools of Fars province by Hamzeh Rahpeyma, Seyedahmad Hashemi, Abbas Gholtash

“…The reliability of the research was checked and confirmed using Cronbach's alpha criterion in SPSS software. Lisrel software was used to fit the conceptual model of the research. …”
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Identifying factors affecting the distribution strategy in the food industry with the attitude of marketing and online sales by solmaz seyedghafouri, Vahid nasehifar, Farid askari

“…Also, even if there is no cost to extend the product line, the company will not choose to extend the product line when the platform receives a large portion of the revenue. …”
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“CPR Posture” for Hemorrhage Control

“…As this posture is already widely taught in CPR classes, it can be readily adopted for teaching or controlling hemorrhage.   …”
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Presenting the indigenous model of organizational self-leadership with an emphasis on training in non-governmental organizations by Sajad Ghoreishi, abbas abbaspour, Mostafa Niknami, Morteza Taheri

“…Extended abstract Introduction Organizations are organized societies whose leaders are an elite class of that society (Eacott, 2018) and these elites are the creators of wealth in organizations. …”
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Estimates for the green function and existence of positive solutions for higher-order elliptic equations

“…We exploit this result to study a class of potentials <mml:math alttext="$mathcal{J}_{m,n}^{(p)}$"> <mml:msubsup> <mml:mi>&#119973;</mml:mi> <mml:mrow> <mml:mi>m</mml:mi> <mml:mo>,</mml:mo> <mml:mi>n</mml:mi> </mml:mrow> <mml:mrow> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>p</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:msubsup> </mml:math>. …”
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Summatory Multiplicative Arithmetic Functions: Scaling and Renormalization by Leonid G. Fel

“…We consider a wide class of summatory functions <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>F</mi><mfenced separators="" open="{" close="}"><mi>f</mi><mo>;</mo><mi>N</mi><mo>,</mo><msup><mi>p</mi><mi>m</mi></msup></mfenced><mo>=</mo><msub><mo>∑</mo><mrow><mi>k</mi><mo>≤</mo><mi>N</mi></mrow></msub><mi>f</mi><mfenced separators="" open="(" close=")"><msup><mi>p</mi><mi>m</mi></msup><mi>k</mi></mfenced></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>m</mi><mo>∈</mo><msub><mi mathvariant="double-struck">Z</mi><mo>+</mo></msub><mo>∪</mo><mrow><mo>{</mo><mn>0</mn><mo>}</mo></mrow></mrow></semantics></math></inline-formula> associated with the multiplicative arithmetic functions <i>f</i> of a scaled variable <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>k</mi><mo>∈</mo><msub><mi mathvariant="double-struck">Z</mi><mo>+</mo></msub></mrow></semantics></math></inline-formula>, where <i>p</i> is a prime number. …”
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Should the Food and Drug Administration Limit Placebo-Controlled Trials? by Max Goodman, Connor Pedersen

“…Food and Drug Administration. https://www.fda.gov/drugs/new-drugs-fda-cders-new-molecular-entities-and-new-therapeutic-biological-products/new-drug-therapy-approvals-2020#first-in-class. Published January 8, 2021. Accessed April 21, 2022…”
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Dependencia de la gasolina. Presentación de un caso. by Ariel Acosta González, Milaidi Milian Martínez, Amalia González Pestana

“…La revisión de la bibliografía, así como la consulta con el Instituto Nacional de Toxicología, no reportó evidencias de caso similar publicado en Cuba.</p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style="font-size: 12pt;"> </span></p>…”
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Addressing Shortcomings in Contingency Standards of Care by Alexander Quan

“…The ADI quantifies the effects of race, class, and socioeconomic background by geographic region for use in public health research and the prioritization of resources.[27] It has shown promise in identifying geographic regions in need of targeted community health efforts for diabetes management based on electronic patient health records.[28] The ADI and similar tools would be useful in proactively deciding how to allocate public health resources when hospitals are strained. …”
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Helicobacter pylori: ¿lo tratamos de acuerdo a las evidencias? by Marcos Félix Osorio Pagola

“…/* Style Definitions */ table.MsoNormalTable {mso-style-name:"Tabla normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin-top:0in; mso-para-margin-right:0in; mso-para-margin-bottom:10.0pt; mso-para-margin-left:0in; line-height:115%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:minor-fareast; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin;} --> <!--[endif] --> <p class="MsoNormal"><span lang="ES">.<br /></span></p>…”
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