Analysis and Topology in Nonlinear Differential Equations: A Tribute to Bernhard Ruf on the Occasion of his 60th Birthday

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Djairo G de Figueiredo, Jo„o Marcos do ”, Carlos Tomei
Springer, Jun 16, 2014 - Mathematics - 466 pages
This volume is a collection of articles presented at the Workshop for Nonlinear Analysis held in Jo„o 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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Contents

Asymptotic Behavior of Sobolev Trace Embeddings in Expanding Domains
1
Multiplicity of Positive Solutions for an Obstacle Problem in R
23
Multiplicity Results for some Perturbed and Unperturbed Zero Mass Elliptic Problems in Unbounded Cylinders
39
Basic Properties of Ultrafunctions
60
Multiple Radial Solutions at Resonance for Neumann Problems Involving the Mean Extrinsic Curvature Operator
87
Equivariant Bifurcation in Geometric Variational Problems
103
W0 11 Solutions in Some Borderline Cases of Elliptic Equations with Degenerate Coercivity
134
Remarks on pLaplacian Problems Depending on the Gradient
145
On a Resonant LaneEmden Problem
267
A Note on the Existence of a Positive Solution for a Nonautonomous SchrŲdingerPoisson System
277
Low Energy Solutions for the Semiclassical Limit of SchrŲdingerMaxwell Systems
287
An Abstract Theorem in Nonlinear Analysis
301
Existence and Nonexistence Results for a SchrŲdinger Equation with Saturable Nonlinearity
309
Bubble Concentration on Spheres for Supercritical Elliptic Problems
322
Normalized Solutions for a SchrŲdingerPoisson System Under a Neumann Condition
341
On Singular Liouville Systems
353

Some Weighted Inequalities of TrudingerMoser Type
162
Multiple Solutions for pLaplacian Type Problems with an Asymptotically plinear Term
175
Nonlocal Dynamic Problems with Singular Nonlinearities and Applications to MEMS
187
Existence and Multiplicity Results for Some Scalar Fields Equations
207
A Supercritical Elliptic Problem in a Cylindrical Shell
231
The Geometric Microlocal Analysis of Generalized Kimura and Heston Diffusions
241
Multiple Positive Solutions for a Nonsymmetric Elliptic Problem with Concave Convex Nonlinearity
387
Nonuniqueness for the Dirichlet Problem for Fully Nonlinear Elliptic Operators and the AmbrosettiProdi Phenomenon
404
Bifurcation at Isolated Eigenvalues for Some Elliptic Equations on RN
423
Geometric Aspects of AmbrosettiProdi Operators with Lipschitz Nonlinearities
444
The Backward λLemma and Morse Filtrations
457
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