000696252 000__ 03321cam\a2200445Ki\4500 000696252 001__ 696252 000696252 005__ 20230306135645.0 000696252 006__ m\\\\\o\\d\\\\\\\\ 000696252 007__ cr\cnu|||unuuu 000696252 008__ 140107s2014\\\\nyu\\\\\ob\\\\001\0\eng\d 000696252 020__ $$a9781461493235 $$qelectronic book 000696252 020__ $$a1461493234 $$qelectronic book 000696252 020__ $$z9781461493228 000696252 0247_ $$a10.1007/978-1-4614-9323-5$$2doi 000696252 035__ $$aSP(OCoLC)ocn867650833 000696252 035__ $$aSP(OCoLC)867650833 000696252 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDXCP$$dN$T$$dCOO$$dGGVRL 000696252 049__ $$aISEA 000696252 050_4 $$aQA379 000696252 08204 $$a515/.355$$223 000696252 1001_ $$aMotreanu, D.,$$eauthor. 000696252 24510 $$aTopological and variational methods with applications to nonlinear boundary value problems$$h[electronic resource] /$$cDumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou. 000696252 264_1 $$aNew York, NY :$$bSpringer,$$c2014. 000696252 300__ $$a1 online resource (xi, 459 pages) 000696252 336__ $$atext$$btxt$$2rdacontent 000696252 337__ $$acomputer$$bc$$2rdamedia 000696252 338__ $$aonline resource$$bcr$$2rdacarrier 000696252 504__ $$aIncludes bibliographical references and index. 000696252 5050_ $$aSobolev Spaces -- Nonlinear Operators -- Nonsmooth Analysis -- Degree Theory -- Variational Principles and Critical Point Theory -- Morse Theory -- Bifurcation Theory -- Regularity Theorems and Maximum Principles -- Spectrum of Differential Operators -- Ordinary Differential Equations -- Nonlinear Elliptic Equations with Dirichlet Boundary Conditions -- Nonlinear Elliptic Equations with Neumann Boundary Conditions. 000696252 506__ $$aAccess limited to authorized users. 000696252 520__ $$aThis book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new applications to nonlinear boundary value problems for both ordinary and partial differential equations. Recent results on the existence and multiplicity of critical points for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum and comparison principles for p-Laplacian type operators, and new developments on nonlinear Neumann problems involving non-homogeneous differential operator appears for the first time in book form. The presentation is systematic, and an extensive bibliography and a remarks section at the end of each chapter highlight the text. This work will serve as an invaluable reference for researchers working in nonlinear analysis and partial differential equations as well as a useful tool for all those interested in the topics presented. 000696252 588__ $$aDescription based on online resource; title from PDF title page (SpringerLink, viewed November 18, 2013). 000696252 650_0 $$aNonlinear boundary value problems. 000696252 650_0 $$aNonlinear operators. 000696252 7001_ $$aMotreanu, Viorica Venera,$$eauthor. 000696252 7001_ $$aPapageorgiou, Nikolaos,$$eauthor. 000696252 85280 $$bebk$$hSpringerLink 000696252 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-1-4614-9323-5$$zOnline Access 000696252 909CO $$ooai:library.usi.edu:696252$$pGLOBAL_SET 000696252 980__ $$aEBOOK 000696252 980__ $$aBIB 000696252 982__ $$aEbook 000696252 983__ $$aOnline 000696252 994__ $$a92$$bISE