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Antonio Ambrosetti
Antonio Ambrosetti (25 November 1944 – 20 November 2020) was an Italian mathematician who worked in the fields of partial differential equations and calculus of variations. Scientific activity Ambrosetti studied at the University of Padua and was professor of mathematics at the International School for Advanced Studies. He is known for his basic work on topological methods in the calculus of variations. These provide tools aimed at establishing the existence of solutions to variational problems when classical Direct method in the calculus of variations, direct methods of the calculus of variations cannot be applied. In particular, the so-called mountain pass theorem he established with Paul Rabinowitz is nowadays a classical tool in the context of nonlinear analysis problems. Recognition Ambrosetti has been awarded the Caccioppoli Prize, Caccioppoli prize in 1982, and the Amerio Prize by the Istituto Lombardo Accademia di Scienze e Lettere in 2008. Jointly with Andrea Malchiodi, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bari, Italy
Bari ( , ; nap, label= Barese, Bare ; lat, Barium) is the capital city of the Metropolitan City of Bari and of the Apulia region, on the Adriatic Sea, southern Italy. It is the second most important economic centre of mainland Southern Italy after Naples. It is a port and university city, as well as the city of Saint Nicholas. The city itself has a population of 315,284 inhabitants, over , while the urban area has 750,000 inhabitants. The metropolitan area has 1.3 million inhabitants. Bari is made up of four different urban sections. To the north is the closely built old town on the peninsula between two modern harbours, with the Basilica of Saint Nicholas, the Cathedral of San Sabino (1035–1171) and the Hohenstaufen Castle built for Frederick II, which is now also a major nightlife district. To the south is the Murat quarter (erected by Joachim Murat), the modern heart of the city, which is laid out on a rectangular grid-plan with a promenade on the sea and the major ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mountain Pass Theorem
The mountain pass theorem is an existence theorem from the calculus of variations, originally due to Antonio Ambrosetti and Paul Rabinowitz. Given certain conditions on a function, the theorem demonstrates the existence of a saddle point. The theorem is unusual in that there are many other theorems regarding the existence of extrema, but few regarding saddle points. Statement The assumptions of the theorem are: * I is a functional from a Hilbert space ''H'' to the reals, * I\in C^1(H,\mathbb) and I' is Lipschitz continuous on bounded subsets of ''H'', * I satisfies the Palais–Smale compactness condition, * I 0, * there exist positive constants ''r'' and ''a'' such that I geq a if \Vert u\Vert =r, and * there exists v\in H with \Vert v\Vert >r such that I leq 0. If we define: :\Gamma=\ and: :c=\inf_\max_ I mathbf(t) then the conclusion of the theorem is that ''c'' is a critical value of ''I''. Visualization The intuition behind the theorem is in the name "mountain pass." ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
People From Bari
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural form of per ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Padua Alumni
A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, the designation is reserved for colleges that have a graduate school. The word ''university'' is derived from the Latin ''universitas magistrorum et scholarium'', which roughly means "community of teachers and scholars". The first universities were created in Europe by Catholic Church monks. The University of Bologna (''Università di Bologna''), founded in 1088, is the first university in the sense of: *Being a high degree-awarding institute. *Having independence from the ecclesiastic schools, although conducted by both clergy and non-clergy. *Using the word ''universitas'' (which was coined at its foundation). *Issuing secular and non-secular degrees: grammar, rhetoric, logic, theology, canon law, notarial law.Hunt Janin: "The university i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
21st-century Italian Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius (AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman emperor, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
2020 Deaths
This is a list of deaths of notable people, organised by year. New deaths articles are added to their respective month (e.g., Deaths in ) and then linked here. 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 1990 1989 1988 1987 See also * Lists of deaths by day The following pages, corresponding to the Gregorian calendar, list the historical events, births, deaths, and holidays and observances of the specified day of the year: Footnotes See also * Leap year * List of calendars * List of non-standard ... * Deaths by year {{DEFAULTSORT:deaths by year ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1944 Births
Events Below, the events of World War II have the "WWII" prefix. January * January 2 – WWII: ** Free France, Free French General Jean de Lattre de Tassigny is appointed to command First Army (France), French Army B, part of the Sixth United States Army Group in North Africa. ** Landing at Saidor: 13,000 US and Australian troops land on Papua New Guinea, in an attempt to cut off a Japanese retreat. * January 8 – WWII: Philippine Commonwealth troops enter the province of Ilocos Sur in northern Luzon and attack Japanese forces. * January 11 ** President of the United States Franklin D. Roosevelt proposes a Second Bill of Rights for social and economic security, in his State of the Union address. ** The Nazi German administration expands Kraków-Płaszów concentration camp into the larger standalone ''Konzentrationslager Plaszow bei Krakau'' in occupied Poland. * January 12 – WWII: Winston Churchill and Charles de Gaulle begin a 2-day conference in Marrakech ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Accademia Dei Lincei
The Accademia dei Lincei (; literally the "Academy of the Lynx-Eyed", but anglicised as the Lincean Academy) is one of the oldest and most prestigious European scientific institutions, located at the Palazzo Corsini on the Via della Lungara in Rome, Italy. Founded in the Papal States in 1603 by Federico Cesi, the academy was named after the lynx, an animal whose sharp vision symbolizes the observational prowess that science requires. Galileo Galilei was the intellectual centre of the academy and adopted "Galileo Galilei Linceo" as his signature. "The Lincei did not long survive the death in 1630 of Cesi, its founder and patron", and "disappeared in 1651". During the nineteenth century, it was revived, first in the Vatican and later in the nation of Italy. Thus the Pontifical Academy of Science, founded in 1847, claims this heritage as the ''Accademia Pontificia dei Nuovi Lincei ("Pontifical Academy of the New Lynxes")'', descending from the first two incarnations of the Academy. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of International Congresses Of Mathematicians Plenary And Invited Speakers
This is a list of International Congresses of Mathematicians Plenary and Invited Speakers. Being invited to talk at an International Congress of Mathematicians has been called "the equivalent, in this community, of an induction to a hall of fame." The current list of Plenary and Invited Speakers presented here is based on the ICM's post-WW II terminology, in which the one-hour speakers in the morning sessions are called "Plenary Speakers" and the other speakers (in the afternoon sessions) whose talks are included in the ICM published proceedings are called "Invited Speakers". In the pre-WW II congresses the Plenary Speakers were called "Invited Speakers". By congress year 1897, Zürich * Jules Andrade * Léon Autonne *Émile Borel * N. V. Bougaïev *Francesco Brioschi *Hermann Brunn *Cesare Burali-Forti *Charles Jean de la Vallée Poussin *Gustaf Eneström *Federigo Enriques *Gino Fano * Zoel García de Galdeano * Francesco Gerbaldi *Paul Gordan *Jacques Hadamard * Adolf Hurwitz ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ferran Sunyer I Balaguer
Ferran Sunyer i Balaguer (born 1912, Figueres - 27 December 1967, Barcelona) was a Spanish mathematician. He is the namesake of the Ferran Sunyer i Balaguer Prize in mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics .... Ferran Sunyer was born with almost complete physical disabilities and never went to school because his doctor advised that Ferran should not be submitted to such stress. Ferran was home schooled by his mother and developed great interest in mathematics. It wasn't until 9 December 1967, 18 days prior to his death, that his confirmation as a scientific member was made public by the Divisió de Ciencias Matemá, Médicas y de Naturaleza of the Council. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Amerio Prize
Amerio or Amério is an Italian surname. Notable people with the surname include: *Luigi Amerio (1912–2004), Italian electrical engineer and mathematician *Romano Amerio Romano Amerio (17 January 1905 – 16 January 1997) was a Swiss Italian theologian and a late critic of post-Conciliar evolutions in liturgy and ecclesiology. His ''magnum opus'' is '' Iota Unum''. It is a work dedicated to the study of the ruptur ... (1905–1997), Swiss Roman Catholic theologian * Sandy Amerio (born 1973), French film director {{Surname Italian-language surnames ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paul Rabinowitz
Paul H. Rabinowitz (born 1939) is the Edward Burr Van Vleck Professor of Mathematics and a Vilas Research Professor at the University of Wisconsin, Madison. He received a Ph.D. from New York University in 1966 under the direction of Jürgen Moser. From 1966 to 1969 he held a position as assistant professor at Stanford University. He has visited many mathematical institutions all over the world (among them universities at Aarhus, Pisa, Paris and ETH in Zurich). In 1978 Paul Rabinowitz became a fellow of the John Simon Guggenheim Memorial Foundation. He works in the fields of partial differential equations and nonlinear analysis. He is best known for his global bifurcation theorem and the mountain pass theorem, the latter done jointly with Antonio Ambrosetti. However also the linking and saddle point theorems, results concerning the existence of periodic solutions to hamiltonian systems, variational methods in the theory of critical points of strongly indefinite functional under the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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