000			02113nam a2200349Ia 4500
003			OSt
005			20250213164539.0
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020			_a9781107111943 (hbk.) _c£129.00
040			_bENG _cIISER-BPR
041			_aENG
082			_a515.83 _bBIS _223rd
100			_aBisci, Giovanni Molica _91083
222			_aMathematics
245		0	_aVariational methods for nonlocal fractional problems
250			_a1st ed.
260			_aCambridge: _bCambridge University Press, _cc2016
300			_axvi, 383p. : _c24cm
440			_aEncyclopedia Of Mathematics And Its Applications _vVol. 162 _92475
504			_aIncludes bibliographic references and subject index.
520			_aThis book provides researchers and graduate students with a thorough introduction to the variational analysis of nonlinear problems described by nonlocal operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations, plus their application to various processes arising in the applied sciences. The equations are examined from several viewpoints, with the calculus of variations as the unifying theme. Part I begins the book with some basic facts about fractional Sobolev spaces. Part II is dedicated to the analysis of fractional elliptic problems involving subcritical nonlinearities, via classical variational methods and other novel approaches. Finally, Part III contains a selection of recent results on critical fractional equations. A careful balance is struck between rigorous mathematics and physical applications, allowing readers to see how these diverse topics relate to other important areas, including topology, functional analysis, mathematical physics, and potential theory.
650			_aMathematics _92476
650			_aAnalysis _92477
650			_aReal analysis _92478
650			_aFunctional calculus _92479
700			_aRadulescu, Vicentiu D. _92480
700			_a Servadei, Raffaella _92481
942			_cBK _2ddc
942			_2ddc
947			_a14073.9
948			_a22
999			_c4223 _d4223