Nonlinear elliptic equations and nonassociative algebras / Nikolai Nadirashvili, Vladimir Tkachev and Serge Vladut.
Material type:
TextSeries: Mathematical surveys and monographs ; v 200.Publication details: Providence : American Mathematical Society, c2014.Description: vii, 240 p. ; 27 cmISBN: - 9781470417109 (acidfree paper)
- 510MS 23 Am512
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 510MS Am512 (Browse shelf(Opens below)) | Available | 135873 |
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| 510MS Am512 Octogonal PETs / | 510MS Am512 Brauer groups, tamagawa measures, and rational points on algebraic varieties / | 510MS Am512 Foundations of free noncommutative function theory / | 510MS Am512 Nonlinear elliptic equations and nonassociative algebras / | 510MS Am512 Topological modular forms / | 510MS Am512 Tensor categories / | 510MS Am512 Grid homology for knots and links / |
Includes bibliographical references (pages 223-233) and index.
1. Nonlinear elliptic equations--
2. Division algebras, exceptional lie groups, and calibrations--
3. Jordan algebras and the cartan isoparametric cubics--
4. Solutions from trialities--
5. Solutions from isoparametric forms--
6. Cubic minimal cones--
7. Singular solutions in calibrated geometries--
Bibliography--
Notation--
Index.
This book presents applications of noncommutative and nonassociative algebras to constructing unusual (nonclassical and singular) solutions to fully nonlinear elliptic partial differential equations of second order. The methods described in the book are used to solve a longstanding problem of the existence of truly weak, nonsmooth viscosity solutions. Moreover, the authors provide an almost complete description of homogeneous solutions to fully nonlinear elliptic equations.
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