000			01787cam a2200289 i 4500
001			135873
003			ISI Library, Kolkata
005			20150616113352.0
008			140722t20142014riua b 001 0 eng
020			_a9781470417109 (acidfree paper)
040			_aISI Library
082	0	0	_a510MS _223 _bAm512
100	1		_aNadirashvili, Nikolai.
245	1	0	_aNonlinear elliptic equations and nonassociative algebras / _cNikolai Nadirashvili, Vladimir Tkachev and Serge Vladut.
260			_aProvidence : _bAmerican Mathematical Society, _cc2014.
300			_avii, 240 p. ; _c27 cm.
490	0		_aMathematical surveys and monographs ; _vv 200.
504			_aIncludes bibliographical references (pages 223-233) and index.
505	0		_a1. 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.
520			_aThis 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.
650		0	_aJordan algebras.
650		0	_aNonassociative rings.
650		0	_aElliptic differential equations.
700	1		_aTkachev, Vladimir.
700	1		_aVladut, Serge.
942			_2ddc _cBK
999			_c419034 _d419034