000			02025nam a2200313Ia 4500
003			OSt
005			20240201190036.0
008			231229s9999 xx 000 0 und d
020			_a9783642093296
040			_cIISER BPR
041			_aEng
082			_a515.64 _bSTR _223rd
100			_aStruwe, Michael
245		0	_aVariational Methods : _bApplications to nonlinear partial differential equations and hamiltonian systems
250			_a4th ed.
260			_aBerlin: _bSpringer-Verlag, _cc2008.
300			_axx, 302p. : _bill (pbk). ; _c22cm.
440			_aA Series of Modern Surveys in Mathematics ; _vVol. 34
520			_aHilbert's talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which, within a few decades, brought tremendous success, highlighted by the 1929 theorem of Ljusternik and Schnirelman on the existence of three distinct prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateau's problem by Douglas and Radó. The book gives a concise introduction to variational methods and presents an overview of areas of current research in the field. The fourth edition gives a survey on new developments in the field. In particular it includes the proof for the convergence of the Yamabe flow and a detailed treatment of the phenomenon of blow-up. Also the recently discovered results for backward bubbling in the heat flow for harmonic maps or surfaces are discussed. Aside from these more significant additions, a number of smaller changes throughout the text have been made and the references have been updated. Includes glossary of notations, appendix A, B & C, references and index.
650			_aMathematics
650			_aCalculus of variations
650			_aDifferential equations, Nonlinear
650			_aHamiltonian systems
650			_aMathematical optimization
942			_cBK _2ddc
942			_2ddc
947			_a12279.488831
948			_a0.22
999			_c3196 _d3196