000			01847nam a22002177a 4500
003			OSt
005			20241024095803.0
008			241024b |||||||| |||| 00| 0 eng d
020			_a9783540740124
100			_aStruwe, Michael
245			_aVariational Methods: _bApplications to Nonlinear Partial Differential Equations/ _cMIchael Struwe
250			_a4th ed.
260			_aBerlin, Heidelberg: _bSpringer- Verlag, _c2008.
300			_axx;302p.
490			_aErgebnisse der Mathematik und ihrer Grenzgebiete 3.Folge I A Series of Modern Surveys in Mathematics
500			_aVolume 34
505			_aThe Direct Methods in the Calculus of Variations I Minimax methods I Limit cases of the Palais- Smale Condition I
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.
650			_aVariational Methods
942			_2ddc _cBK _e23rd ed. _kSTRU _m515.353
999			_c23135 _d23135