Spectral theory and nonlinear analysis with applications to spatial ecology : [proceedings of the complutense international seminar spectral theory and nonlinear analysis], Universidad Complutense de Madrid, Spain, 14-15 June 2004

this Volume Details Some Of The Latest Advances In Spectral Theory And Nonlinear Analysis Through Various Cutting-edge Theories On Algebraic Multiplicities, Global Bifurcation Theory, Non-linear Schrödinger Equations, Non-linear Boundary Value Problems, Large Solutions, Metasolutions, Dynamical Systems, And Applications To Spatial Ecology. The Main Scope Of The Book Is Bringing Together A Series Of Topics That Have Evolved Separately During The Last Decades Around The Common Denominator Of Spectral Theory And Nonlinear Analysis - From The Most Abstract Developments Up To The Most Concrete Applications To Population Dynamics And Socio-biology - In An Effort To Fill The Existing Gaps Between These Fields. On the positive solutions of the logistic weighted elliptic BVP with sublinear mixed boundary conditions --Logarithmic interpolation spaces -- Remarks on large solutions -- Well posedness and asymptotic behaviour of a closed loop thermosyphon -- Uniqueness of large solutions for a class of radially symmetric elliptic equations -- Cooperation and competition, strategic alliances, and the cambrian explosion -- Local smith form and equivalence for one-parameter families of F'redholm operators of index zero -- Multilump solutions of the non-linear Schrodinger equation - a scaling approach -- Some elliptic problems with nonlinear boundary conditions -- Dynamical systems method (DSM) and nonlinear problems -- Some recent results on periodic, jumping nonlinearity problems -- Some remarks about the cubic Schrodinger equation on the line -- Some remarks on the invariance of level sets in dynamical systems Annotation This volume details some of the latest advances in spectral theory and nonlinear analysis through various cutting-edge theories on algebraic multiplicities, global bifurcation theory, non-linear Schr?dinger equations, non-linear boundary value problems, large solutions, metasolutions, dynamical systems, and applications to spatial ecology. The main scope of the book is bringing together a series of topics that have evolved separately during the last decades around the common denominator of spectral theory and nonlinear analysis? from the most abstract developments up to the most concrete applications to population dynamics and socio-biology? in an effort to fill the existing gaps between these fields This volume details some of the latest advances in spectral theory and nonlinear analysis through various cutting-edge theories on algebraic multiplicities, global bifurcation theory, non-linear Schrödinger equations, non-linear boundary value problems, large solutions, metasolutions, dynamical systems, and applications to spatial ecology.The main scope of the book is bringing together a series of topics that have evolved separately during the last decades around the common denominator of spectral theory and nonlinear analysis — from the most abstract developments up to the most concrete applications to population dynamics and socio-biology — in an effort to fill the existing gaps between these fields. This volume details some of the latest advances in spectral theory and nonlinear analysis through various cutting-edge theories on algebraic multiplicities, global bifurcation theory, non-linear Schrödinger equations, non-linear boundary value problems, large solutions, metasolutions, dynamical systems, and applications to spatial ecology. The main scope of the book is bringing together a series of topics that have evolved separately during the last decades around the common denominator of spectral theory and nonlinear analysis - from the most abstract developments up to the most concrete appl "This volume details some of the latest advances in spectral theory and nonlinear analysis through various cutting-edge theories on algebraic multiplicities, global bifurcation theory, non-linear Schrodinger equations, non-linear boundary value problems, large solutions, metasolutions, dynamical systems, and applications to spatial ecology."--BOOK JACKET Presents the developments in spectral theory and nonlinear analysis through various cutting-edge theories on algebraic multiplicities, global bifurcation theory, non-linear Schrodinger equations, non-linear boundary value problems, large solutions, metasolutions, dynamical systems, and applications to spatial ecology.