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Analysis and Topology in Nonlinear Differential Equations electronic resource A Tribute to Bernhard Ruf on the Occasion of his 60th Birthday / edited by Djairo G Figueiredo, João Marcos do Ó, Carlos Tomei.

Contributor(s): Figueiredo, Djairo G [editor.] | do Ó, João Marcos [editor.] | Tomei, Carlos [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Progress in Nonlinear Differential Equations and Their ApplicationsPublication details: Cham : Springer International Publishing : Imprint: Birkhäuser, 2014Description: X, 466 p. 17 illus., 6 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319042145Subject(s): mathematics | Differential equations, partial | Mathematical optimization | Topology | Mathematics | Partial Differential Equations | Calculus of Variations and Optimal Control; Optimization | TopologyDDC classification: 515.353 LOC classification: QA370-380Online resources: Click here to access online
Contents:
Preface -- Asymptotic Behavior of Sobolev Trace Embeddings in Expanding Domains -- Multiplicity of Positive Solutions for an Obstacle Problem in R -- Elliptic Problems in Unbounded Cylinders -- Basic Properties of Ultra functions -- Multiple Radial Solutions at Resonance for Neumann Problems Involving the Mean Extrinsic Curvature Operator -- Equivariant Bifurcation in Geometric Variational Problems -- And many more.
In: Springer eBooksSummary: This volume is a collection of articles presented at the Workshop for Nonlinear Analysis held in João Pessoa, Brazil, in September 2012. The influence of Bernhard Ruf, to whom this volume is dedicated on the occasion of his 60th birthday, is perceptible throughout the collection by the choice of themes and techniques. The many contributors consider modern topics in the calculus of variations, topological methods and regularity analysis, together with novel applications of partial differential equations. In keeping with the tradition of the workshop, emphasis is given to elliptic operators inserted in different contexts, both theoretical and applied. Topics include semi-linear and fully nonlinear equations and systems with different nonlinearities, at sub- and supercritical exponents, with spectral interactions of Ambrosetti-Prodi type. Also treated are analytic aspects as well as applications such as diffusion problems in mathematical genetics and finance and evolution equations related to electromechanical devices.
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Preface -- Asymptotic Behavior of Sobolev Trace Embeddings in Expanding Domains -- Multiplicity of Positive Solutions for an Obstacle Problem in R -- Elliptic Problems in Unbounded Cylinders -- Basic Properties of Ultra functions -- Multiple Radial Solutions at Resonance for Neumann Problems Involving the Mean Extrinsic Curvature Operator -- Equivariant Bifurcation in Geometric Variational Problems -- And many more.

This volume is a collection of articles presented at the Workshop for Nonlinear Analysis held in João Pessoa, Brazil, in September 2012. The influence of Bernhard Ruf, to whom this volume is dedicated on the occasion of his 60th birthday, is perceptible throughout the collection by the choice of themes and techniques. The many contributors consider modern topics in the calculus of variations, topological methods and regularity analysis, together with novel applications of partial differential equations. In keeping with the tradition of the workshop, emphasis is given to elliptic operators inserted in different contexts, both theoretical and applied. Topics include semi-linear and fully nonlinear equations and systems with different nonlinearities, at sub- and supercritical exponents, with spectral interactions of Ambrosetti-Prodi type. Also treated are analytic aspects as well as applications such as diffusion problems in mathematical genetics and finance and evolution equations related to electromechanical devices.

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