An introduction to nonlinear functional analysis and elliptic problems progress in nonlinear differential equations and their applications bd82 david arcoya alvarez antonio ambrosetti. Functional analysis and elliptic problems series progress in nonlinear differential equations and their applications provides the basic abstract tools used in nonlinear analysis key results such as the banach contraction principle a fixed point theorem for increasing operators local and global inversion theory leray schauder degree critical point theory and bifurcation theory outlines . This self contained textbook provides the basic abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems by first outlining the advantages and. Math z 221 1996 467 493 3 s alama and g tarantello elliptic problems with nonlinearities indefinite in sign j funct anal 141 1996 159 215 4 a ambrosetti and d arcoya an introduction to nonlinear functional analysis and elliptic problems progress in nonlinear differential equations and their applications. Stanford libraries official online search tool for books media journals databases government documents and more