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An Introduction to -Convergence (Hardcover, 1993 ed.)
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An Introduction to -Convergence (Hardcover, 1993 ed.)
Series: Progress in Nonlinear Differential Equations and Their Applications, 8
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The last twentyfive years have seen an increasing interest for
variational convergences and for their applications to different
fields, like homogenization theory, phase transitions, singular
perturbations, boundary value problems in wildly perturbed domains,
approximation of variatonal problems, and non- smooth analysis.
Among variational convergences, De Giorgi's r-convergence plays a
cen- tral role for its compactness properties and for the large
number of results concerning r -limits of integral functionals.
Moreover, almost all other varia- tional convergences can be easily
expressed in the language of r -convergence. This text originates
from the notes of the courses on r -convergence held by the author
in Trieste at the International School for Advanced Studies (S. I.
S. S. A. ) during the academic years 1983-84,1986-87, 1990-91, and
in Rome at the Istituto Nazionale di Alta Matematica (I. N. D. A.
M. ) during the spring of 1987. This text is far from being a
treatise on r -convergence and its appli- cations.
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