| Dewey Class |
515.64 |
| Title |
Calculus of Variations and Partial Differential Equations ([EBook] :) : Topics on Geometrical Evolution Problems and Degree Theory / by Luigi Ambrosio, Norman Dancer ; edited by Giuseppe Buttazzo, Antonio Marino, M. K. V. Murthy. |
| Author |
Ambrosio, Luigi. , 1963- |
| Added Personal Name |
Dancer, Norman author. |
| Buttazzo, Giuseppe editor. |
| Marino, Antonio editor. |
| Murthy, M. K. V. editor. |
| Other name(s) |
SpringerLink (Online service) |
| Publication |
Berlin, Heidelberg : Springer , 2000. |
| Physical Details |
X, 348 pages, 4 illus. : online resource. |
| ISBN |
9783642571862 |
| Summary Note |
The link between Calculus of Variations and Partial Differential Equations has always been strong, because variational problems produce, via their Euler-Lagrange equation, a differential equation and, conversely, a differential equation can often be studied by variational methods. At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on a classical topic (the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to pde's resp.), in a self-contained presentation accessible to PhD students, bridging the gap between standard courses and advanced research on these topics. The resulting book is divided accordingly into 2 parts, and nicely illustrates the 2-way interaction of problems and methods. Each of the courses is augmented and complemented by additional short chapters by other authors describing current research problems and results.: |
| Contents note |
I Geometric Evolution Problems -- Geometric evolution problems, distance function and viscosity solutions -- Variational models for phase transitions, an approach via ?-convergence -- Some aspects of De Giorgi’s barriers for geometric evolutions -- Partial Regularity for Minimizers of Free Discontinuity Problems with p-th Growth -- Free discontinuity problems and their non-local approximation -- II Degree Theory on Convex Sets and Applications to Bifurcation -- Degree theory on convex sets and applications to bifurcation -- Nonlinear elliptic equations involving critical Sobolev exponents -- On the existence and multiplicity of positive solutions for semilinear mixed and Neumann elliptic problems -- Solitons and Relativistic Dynamics -- An algebraic approach to nonstandard analysis -- References. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/978-3-642-57186-2 |
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