De Figueiredo D.G., do Ó J.M., Tomei C. (Eds.) Analysis and Topology in Nonlinear Differential Equations: A Tribute to Bernhard Ruf on the Occasion of his 60th Birthday

Springer, 2014. — 465 p. — (Progress in Nonlinear Differential Equations and Their Applications 85). — ISBN: 978-3-319-04213-8.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.Asymptotic Behavior of Sobolev Trace Embeddings in Expanding Domains
Multiplicity of Positive Solutions for an Obstacle Problem in ℝ
Multiplicity Results for some Perturbed and Unperturbed “Zero Mass” Elliptic Problems in Unbounded Cylinders
Basic Properties of Ultrafunctions
Multiple Radial Solutions at Resonance for Neumann Problems Involving the Mean Extrinsic Curvature Operator
Equivariant Bifurcation in Geometric Variational Problems
W1,10 Solutions in Some Borderline Cases of Elliptic Equations with Degenerate Coercivity
Remarks on p-Laplacian Problems Depending on the Gradient
Some Weighted Inequalities of Trudinger–Moser Type
Multiple Solutions for p-Laplacian Type Problems with an Asymptotically p-linear Term
Nonlocal Dynamic Problems with Singular Nonlinearities and Applications to MEMS
Existence and Multiplicity Results for Some Scalar Fields Equations
A Supercritical Elliptic Problem in a Cylindrical Shell
The Geometric Microlocal Analysis of Generalized Kimura and Heston Diffusions
On a Resonant Lane–Emden Problem
A Note on the Existence of a Positive Solution for a Non-autonomous Schrödinger–Poisson System
Low Energy Solutions for the Semiclassical Limit of Schrödinger–Maxwell Systems
An Abstract Theorem in Nonlinear Analysis
Existence and Nonexistence Results for a Schrödinger Equation with Saturable Nonlinearity
Bubble Concentration on Spheres for Supercritical Elliptic Problems
Normalized Solutions for a Schrödinger–Poisson System Under a Neumann Condition
Multiple Positive Solutions for a Nonsymmetric Elliptic Problem with Concave Convex Nonlinearity
Nonuniqueness for the Dirichlet Problem for Fully Nonlinear Elliptic Operators and the Ambrosetti–Prodi Phenomenon
Bifurcation at Isolated Eigenvalues for Some Elliptic Equations on ℝ N
Geometric Aspects of Ambrosetti–Prodi Operators with Lipschitz Nonlinearities
The Backward λ -Lemma and Morse Filtrations