789 research outputs found
Ennio De Giorgi and Gamma-convergence
No full textΓ-convergence was introduced by Ennio De Giorgi in a se- ries of papers published between 1975 and 1983. In the same years he developed many applications of this tool to a great variety of asymp- totic problems in the calculus of variations and in the theory of partial differential equations
Relazione tecnica conclusiva del progetto triennale : “Sviluppo di produzioni di piante officinali in territorio montano (Valle Camonica)”
No full textRelazione tecnica conclusiva del progetto triennale Erbe Officinali : “Sviluppo delle produzioni di erbe officinali di elevato valore qualitativo e salutistico nell’area alpina” : Progetto INTERREG IIIA ITALIA-SVIZZERA (2004-2007)
No full textInfluence of different environmental stress conditions on phenolic accumulation in the medicinal herb Achillea collina [Becker ex Rchb]
No full textFractional De Giorgi classes and applications to nonlocal regularity theory
No full textWe present some recent results obtained by the author on the regularity of solutions to nonlocal variational problems. In particular, we review the notion of fractional De Giorgi class, explain its role in nonlocal regularity theory, and propose some open questions in the subject.</p
Intrinsic geometry and De Giorgi classes certain anisotropic Sobolev spaces
No full textWe analyze a natural approach to the regularity of solutions of problems related to some anisotropic Laplacian operators, and a subsequent extension of the usual De Giorgi classes, by investigating the relation of the functions in such classes with the weak solutions to some anisotropic elliptic equations as well as with the quasi-minima of the corresponding functionals with anisotropic polynomial growth
Ivane Javakhishvili On Narrative Style of St. Giorgi Mtatsmindeli
No full textIvane Javakhishvili's research on the narration of monuments
of ancient Georgian writing, namely About the style of St.
Giorgi Mtatsmindeli's hagiographic writings, which is expressed
in his fundamental work and the monograph published after his
death, they are "Old Georgian Historical Writing~ and The publication
of St. Giorgi Mtatsmindeli's writings and the study attached
to it, acquired great importance for the general study of Georgian
religious and secular literature, historical writing, and the
conceptual issues of the Georgian Literary and Theological
School of Athos.
He was one of the first to pay attention and form his views
to St. About the codicological-textological issues, sources and
narrative style of Giorgi Mtatsmindeli's hagiographical works,
thereby drawing attention to the methodological views of the writer-hagiographer. In this regard, Ivane Javakhishvili directed
his observations to On the text of "The Life of St. John and St.
Ephvime Mtatsmindelis" as a historical work, but these observations
are also important from a philological-literary point of view.
According to the scientist, he had oral and written sources,
which he himself indicates. In modern research, we have the opportunity
to verify the mentioned issues with other sources,
which once again shows the scientific genius of Ivane Javakhishvili.
In these works, Ivane Javakhishvili used the terminology
used in theological and historical writings, namely "tskhoreva",
"dignified citizenship", "a letter to be remembered", "length of
time", "the coming of truth to science", "infallible" and others.
Discussed by The issue of St. Giorgi Mtatsmindeli's hagiographic
narrative style, which presents the author as a truthful writer.
The report talks about the different opinions on each raised issue
based on historical and philological studies at the modern
stage.
The work presents the merits of Ivane Javakhishvili St. Giorgi
Mtatsmindeli's hagiographic works. In determining the sources,
textological processing, narrative style, epochal value of the
lives of Saints John and Ephvime in the context of the thought
space of the Middle Ages, based on the achievements of modern
philological-literary science
HISTORICAL-CULTURAL CONTEXT OF “GIORGI BRTSKINVALE (BRILLIANT)” BY CHABUA AMIREJIBI AND MODERNITY
No full textკონფერენცია ეძღვნება ჭაბუა ამირეჯიბის დაბადებიდან 100 წლის იუბილეს/ The Conference is Dedicated to the 100th Anniversary of Chabua AmirejibiIn the historical memory of Georgian nation, Chabua Amirejibi chose the name
Giorgi Brtskhinvale (brilliant) and created the novel where the main character is
Giorgi the Brilliant also known as “the best within the humans” by historians. Of
course, the novel is not the research work about Georgian history or about the life of
Giorgi the Brilliant. During writing the novel he emphasizes the soul of the epoch and
expresses it in a very diverse manner.
Author of the novel chose the method of allegory to show personal freedom,
moral selection, paradigm of political determination, and to show the historical-cultural
context of Georgian King’s activities. The character of Giorgi the Brilliant became
synonymous with the dedication to keeping the existence of the nation and
country, whose whole activities were related to the future hope and historical memory
of the nation. In the critical epoch when even in contemporary literature we are at the
risk of losing the phenomenon of heroes, Giorgi the Brilliant by Chabua Amirejibi is
the one with knight spirit, philosophically minded and person with high moral principles.
The goal of creating the novel is the attempt to show the historical-cultural
meaning of the king’s context in complains with the contemporary life. The main interest of the author to Giorgi the Brilliant and his epoch comes from
the wish to finding the valuable place in the world for our nation, seeking the function
of Georgia as the central country in Caucasus. He wants to show, at the initial stage
of the weakening of the imperial foreign powers, what cautious, prudent, diplomatic
moves the inhabitants of the enslaved, abandoned, blood-soaked land should have
made, in which an allegorical point of view is clearly read. Situated at the crossroad
of East and West, North and South, being the most important country for the big and
small countries of Europe and Asia, Georgia was playing the role of combining cultural,
economic, civilization and the world. All those meaningful ideas were under
the risk of getting lost and was especially painful for the author. Not surprisingly,
same issues are discussed in “Data Tutashkhia”. In “Giorgi the Brilliant” the hidden
idea is to restore this function of the country. The idea of freedom and state were the
most actual part of our life and the historical face of the king is given according those
allegoric meanings
Local boundedness for forward–backward parabolic De Giorgi classes with coefficients depending on time
No full textWe define a homogeneous De Giorgi class %of mixed type
of order
which suits two class of evolution equations of the type
and ,
where can be positive, null and negative and a suitable elliptic operator. \\
For functions belonging to this class we prove a local boundedness result
On the extensions of the De Giorgi approach to nonlinear hyperbolic equations
No full textIn this talk we present an overview on the extensions of the De Giorgi approach to general second order nonlinear hyperbolic equations. We start with an introduction to the original conjecture by E. De Giorgi ([1, 2]) and to its solution by E. Serra and P. Tilli ([4]). Then, we discuss a first extension of this idea (Serra&Tilli, [5]) aimed at investigating a wide class of homogeneous equations. Finally, we announce a further extension to nonhomogeneous equations, obtained by the author in [9] in collaboration with P. Tilli
- …
