| 书目名称 | Cartesian Currents in the Calculus of Variations II |
| 副标题 | Variational Integral |
| 编辑 | Mariano Giaquinta,Giuseppe Modica,Jiří Souček |
| 视频video | |
| 概述 | Deals with non scalar variational problems arising in geometry.Selfcontained presentation.Accessible to non specialists.The two volumes are readable independently.Chapters and even sections readable i |
| 丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati |
| 图书封面 |  |
| 描述 | Non-scalar variational problems appear in different fields. In geometry, for in stance, we encounter the basic problems of harmonic maps between Riemannian manifolds and of minimal immersions; related questions appear in physics, for example in the classical theory of a-models. Non linear elasticity is another example in continuum mechanics, while Oseen-Frank theory of liquid crystals and Ginzburg-Landau theory of superconductivity require to treat variational problems in order to model quite complicated phenomena. Typically one is interested in finding energy minimizing representatives in homology or homotopy classes of maps, minimizers with prescribed topological singularities, topological charges, stable deformations i. e. minimizers in classes of diffeomorphisms or extremal fields. In the last two or three decades there has been growing interest, knowledge, and understanding of the general theory for this kind of problems, often referred to as geometric variational problems. Due to the lack of a regularity theory in the non scalar case, in contrast to the scalar one - or in other words to the occurrence of singularities in vector valued minimizers, often related with concentra |
| 出版日期 | Book 1998 |
| 关键词 | Area; Calculus of Variations; Volume; geometric measure theory; harmonic mappings; minimal surfaces; nonli |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-06218-0 |
| isbn_softcover | 978-3-642-08375-4 |
| isbn_ebook | 978-3-662-06218-0Series ISSN 0071-1136 Series E-ISSN 2197-5655 |
| issn_series | 0071-1136 |
| copyright | Springer-Verlag Berlin Heidelberg 1998 |
发表于 2025-3-21 16:39:08
