Partial differential equations of elliptic type : Cortona, 1992
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書誌事項
Partial differential equations of elliptic type : Cortona, 1992
（Symposia mathematica, v. 35）
Cambridge University Press, 1994
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注記
"Under the auspices of the Istituto Nazionale di Alta Matematica, a conference was held in October 1992 in Cortona, Italy" -- [i] p.
Includes bibliographies
内容説明・目次
内容説明
Under the auspices of the Istituto Nazionale di Alta Matematica, a conference was held in October 1992 in Cortona, Italy, to study partial differential equations of elliptic type. These equations arise from many real systems and have been studied in depth for many years. Here special emphasis is placed on the geometric aspects of the subject, giving this volume a unique flavour. Many of the world's leading figures in this subject area attended the meeting, and this volume collects the best papers, covering the latest advances and shedding new light on old problems. As an account of the present state of the subject, these papers are unparalleled, and all workers on partial differential equations will find that this book will be of lasting value.
目次
- 1. The inverse conductivity problem with one measurement: uniqueness for convex polyhedra B. Barcelo, E. Fabes and J. K. Seo
- 2. Differential-geometric methods in design of reflector antennas E. Newman and V. Oliker
- 3. New isoperimetric inequalities in mathematical physics N. S. Nadirashvili
- 4. On the solutions of quasielliptic problems with boundary blow-up C. Bandle and M. Essen
- 5. Prescribed curvature and the method of isometry-concentration T. Aubin
- 6. On the existence of two convex hypersurfaces with prescribed k-th mean curvature K. S. Chou and X. P. Zhu
- 7. Remarks on some old and current eigenvalue problems B. Kawohl
- 8. Comparison theorems via Schwarz symmetrization - a survey S. Kesaven
- 9. Isoperimetric inequalities for eigenvalue ratios M. S. Ashbaugh and R. Benguria
- 10. A unified approach to symmetrization A. Baernstein
- 11. On the motion of an ideal incompressible fluid Y. Brenier.
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