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Analysis and Topology in Nonlinear Differential Equations A Tribute to Bernhard Ruf on the Occasion of his 60th Birthday / [electronic resource] : edited by Djairo G de Figueiredo, João Marcos do Ó, Carlos Tomei. - X, 466 p. 17 illus., 6 illus. in color. online resource. - Progress in Nonlinear Differential Equations and Their Applications ; 85 . - Progress in Nonlinear Differential Equations and Their Applications ; 85 .

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.

9783319042145

10.1007/978-3-319-04214-5 doi


Mathematics.
Partial differential equations.
Calculus of variations.
Topology.
Mathematics.
Partial Differential Equations.
Calculus of Variations and Optimal Control; Optimization.
Topology.

QA370-380

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