Recent Trends in Nonlinear Analysis: Festschrift Dedicated to Alfonso Vignoli on the Occasion of His Sixtieth Birthday (Google eBook)

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Alfonso Vignoli, Jürgen Appell
Springer Science & Business Media, Jan 1, 2000 - Mathematics - 264 pages
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The book contains a collection of 21 original research papers which report on recent developments in various fields of nonlinear analysis. The collection covers a large variety of topics ranging from abstract fields such as algebraic topology, functional analysis, operator theory, spectral theory, analysis on manifolds, partial differential equations, boundary value problems, geometry of Banach spaces, measure theory, variational calculus, and integral equations, to more application-oriented fields like control theory, numerical analysis, mathematical physics, mathematical economy, and financial mathematics. The book is addressed to all specialists interested in nonlinear functional analysis and its applications, but also to postgraduate students who want to get in touch with this important field of modern analysis. It is dedicated to Alfonso Vignoli who has essentially contributed to the field, on the occasion of his sixtieth birthday.
  

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Contents

Alfonso Vignoli the Researcher Teacher and Friend
1
How to Make Use of the Solution Set to Solve Boundary Value Problems
15
On the Unique Solvability of Hammerstein Integral Equations with NonSymmetric Kernels
27
The Invariance of Domain for C Fredholm Maps of Index Zero
35
Positive Eigenfunctions for Some Unbounded Differential Operators
41
Some Geometrical Properties of Rearrangement Invariant Spaces
47
Strong Surjections and Nearness
55
On the Vanishing Viscosity Approximation of a Time Dependent HamiltonJacobi Equation
59
La valutazione di opzioni implicite nei mutui bancari
117
Continuity of NearDuality Maps and Characterizations of Ideal Spaces of Measurable Functions
139
A Spectral Theory for Semilinear Operators and its Applications
149
Feedback Stability of Closed Sets for Nonlinear Control Systems
165
Two Mechanical Systems and Equivariant Degree
177
On the Semilinear Dirichlet Problem for a Class of Nonlocal Operators Generating Dirichlet Forms
191
A Geometric Viewpoint
205
Mountain Pass and Linking Type Solutions for Semilinear Dirichlet Forms
217

Some Remarks on a Nonlinear Model of Competitive Equilibrium
77
Almost Discrete Convergence
83
Nonlinear Stability of Eigenvalues of Compact SelfAdjoint Operators
93
A Bifurcation Theorem for Lagrangian Intersections
105
SelfSimilar Measures in QuasiMetric Spaces
233
C Fredholm Maps and Bifurcation for Quasilinear Elliptic Equations on IRA
249
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