Nonlinear Equations: Methods, Models and Applications (Progress in Nonlinear Differential Equations and Their Applications (54))

This volume contains research articles from the field of Nonlinear Differential Equa­ tions which result from the'Workshop on Nonlinear Analysis and Applications'held in Bergamo on July 9 to 13, 200l. This workshop was the third edition of a meeting which first took place in Campinas in 1996 and was founded in part upon scientific cooperation, already well initiated, between some participants, on specific problems in Nonlinear Analysis, and in part upon the whish to extend such cooperation to other researchers and to other topics. The scientific collaboration between Italy and Brazil is not new; it dates back at least to the thirties, and includes, among others, the name of Luigi Fantappie, just to mention only one of the earliest Italians that developed part of their scien­ tific activity in Brazil. If the first workshop had mainly an informal character, the second, which took place in 1998 again in Campinas, already had the structure and the breath of a true international congress. At this point it was the Italians turn to organize the third meeting. The main purpose of the conference was to provide a forum for the discussion of recent work and modern trends in various fields of Nonlinear Analysis. About 130 researchers coming from 17 countries attended the conference.

this Volume Contains Research Articles Originating From The Workshop On Nonlinear Analysis And Applications Held In Bergamo In July 2001.

classical Topics Of Nonlinear Analysis Were Considered, Such As Calculus Of Variations, Variational Inequalities, Critical Point Theory And Their Use In Various Aspects Of The Study Of Elliptic Differential Equations And Systems, Equations Of Hamilton-jacobi, Schrödinger And Navier-stokes, And Free Boundary Problems. Moreover, Various Models Were Focused Upon: Travelling Waves In Supported Beams And Plates, Vortex Condensation In Electroweak Theory, Information Theory, Non-geometrical Optics, And Dirac-fock Models For Heavy Atoms.

Contains research articles originating from the Workshop on Nonlinear Analysis and Applications held in Bergamo in July 2001. This work considers topics of nonlinear analysis, such as calculus of variations, variational inequalities, critical point theory, equations of Hamilton-Jacobi, Schrodinger and Navier-Stokes, and free boundary problems. In [14], José F. Escobar raised the following question: Given a compact Riemannian manifold with boundary, when it is conformally equivalent to one that has zero scalar curvature and whose boundary has a constant mean curvature?