Recent Trends in Nonlinear Analysis

1. Front Matter

   Pages i-viii

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2. Alfonso Vignoli — the Researcher, Teacher, and Friend

   • Jürgen Appell, Massimo Furi, Jorge Ize

   Pages 1-13

3. How to Make Use of the Solution Set to Solve Boundary Value Problems

   • Giuseppe Anichini, Giuseppe Conti

   Pages 15-25

4. On the Unique Solvability of Hammerstein Integral Equations with Non-Symmetric Kernels

   • Jürgen Appell, Espedito De Pascale, Petr P. Zabrejko

   Pages 27-34

5. The Invariance of Domain forC ¹Fredholm Maps of Index Zero

   • Pierluigi Benevieri, Massimo Furi, Maria Patrizia Pera

   Pages 35-39

6. Positive Eigenfunctions for Some Unbounded Differential Operators

   • Lucio Boccardo

   Pages 41-45

7. Some Geometrical Properties of Rearrangement Invariant Spaces

   • Ilya Briskin, Evgueni M. Semenov

   Pages 47-54

8. Strong Surjections and Nearness

   • Adriana Buica

   Pages 55-58

9. On the Vanishing Viscosity Approximation of a Time Dependent Hamilton-Jacobi Equation

   • Italo Capuzzo Dolcetta, Fabiana Leoni

   Pages 59-75

10. Some Remarks on a Nonlinear Model of Competitive Equilibrium

    • Antonio Carbone, Petr P. Zabrejko

    Pages 77-82

11. Almost Discrete Convergence

    • Emanuele Casini, Pier Luigi Papini

    Pages 83-92

12. Nonlinear Stability of Eigenvalues of Compact Self-Adjoint Operators

    • Raffaele Chiappinelli

    Pages 93-103

13. A Bifurcation Theorem for Lagrangian Intersections

    • Eleonora Ciriza, Jacobo Pejsachowicz

    Pages 105-115

14. La valutazione di opzioni implicite nei mutui bancari

    • Andrea Consiglio, Massimo Costabile, Carlo Mari, Ivar Massabò

    Pages 117-137

15. Continuity of Near-Duality Maps and Characterizations of Ideal Spaces of Measurable Functions

    • Gunter Dirr, Martin Väth

    Pages 139-148

16. A Spectral Theory for Semilinear Operators and its Applications

    • Wenying Feng, Jeff Webb

    Pages 149-163

17. Feedback Stability of Closed Sets for Nonlinear Control Systems

    • Lech Górniewicz, Paolo Nistri

    Pages 165-175

18. Two Mechanical Systems and Equivariant Degree

    • Jorge Ize

    Pages 177-190

19. On the Semilinear Dirichlet Problem for a Class of Nonlocal Operators Generating Dirichlet Forms

    • Niels Jacob, Vitaly Moroz

    Pages 191-204

20. Bifurcation for One-Parameter Families of Scalar Maps: A Geometric Viewpoint

    • Mario Martelli, Gareguin Mikaelian, Suzanne Sindi

    Pages 205-215

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.

• Boundary value problem
• Nichtlineare Analysis
• Operator theory
• Operatortheorie
• calculus
• differential equation
• functional analysis
• measure
• partial differential equation

• Department of Mathematics, University of Würzburg, Würzburg, Germany

  Jürgen Appell

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