<p>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.</p>

An Introduction to Γ-Convergence (Progress in Nonlinear Differential Equations and Their Applications, 8)

Science & Math

Dal Maso, Gianni

Mathematics

Birkhauser

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.

An Introduction to Γ-Convergence (Progress in Nonlinear Differential Equations and Their Applications)

<p>This is a collection of the following articles: F. Strocchi, Classification of solutions of non-linear hyperbolic equations and non-linear elliptic problems, E.H. Zarantonello, Conical spectral theory, E. De Giorgi, Generalized limits in calculus of variations, G. Dal Maso and L. Modica, A general theory of variational functionals.</p>

Topics in functional analysis 1980-81 (Publications of the Scuola Normale Superiore)

Strocchi, Franco

De Giorgi, Ennio

Zarantonello, Eduardo H.

Modica, Luciano

Edizioni della Normale

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