01988nam a22003258i 4500001001600000003000700016008004100023020001800064020001800082035002000100041000800120082001700128100002800145245010700173264007100280300003800351336002600389337002600415338003600441490005300477500001300530520082800543650002401371650003801395700003101433856005501464932003201519596000601551949010501557CR9780511618260UkCbUP090915s2007||||enk o ||1 0|eng|d a9780511618260 a9780521863209 a(Sirsi) a795251 aeng00a515.35332221 aAmbrosetti, A.,eauthor10aNonlinear analysis and semilinear elliptic problemsh[E-Book] /cAntonio Ambrosetti, Andrea Malchiodi. 1aCambridge :bCambridge University Press,c2007e(CUP)fCUP20200108 a1 online resource (xi, 316 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier aCambridge studies in advanced mathematics ;v104 aenglisch aMany problems in science and engineering are described by nonlinear differential equations, which can be notoriously difficult to solve. Through the interplay of topological and variational ideas, methods of nonlinear analysis are able to tackle such fundamental problems. This graduate text explains some of the key techniques in a way that will be appreciated by mathematicians, physicists and engineers. Starting from elementary tools of bifurcation theory and analysis, the authors cover a number of more modern topics from critical point theory to elliptic partial differential equations. A series of Appendices give convenient accounts of a variety of advanced topics that will introduce the reader to areas of current research. The book is amply illustrated and many chapters are rounded off with a set of exercises. 0aNonlinear theories. 0aDifferential equations, Elliptic.1 aMalchiodi, Andrea,eauthor40uhttps://doi.org/10.1017/CBO9780511618260zVolltext aCambridgeCore (Order 30059) a1 aXX(795251.1)wAUTOc1i795251-1001lELECTRONICmZBrNsYtE-BOOKu8/1/2020xUNKNOWNzUNKNOWN1ONLINE