Ebook: Recent Trends in Nonlinear Analysis: Festschrift Dedicated to Alfonso Vignoli on the Occasion of His Sixtieth Birthday

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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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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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.
Content:
Front Matter....Pages i-viii
Alfonso Vignoli — the Researcher, Teacher, and Friend....Pages 1-13
How to Make Use of the Solution Set to Solve Boundary Value Problems....Pages 15-25
On the Unique Solvability of Hammerstein Integral Equations with Non-Symmetric Kernels....Pages 27-34
Positive Eigenfunctions for Some Unbounded Differential Operators....Pages 35-39
Some Geometrical Properties of Rearrangement Invariant Spaces....Pages 41-45
Strong Surjections and Nearness....Pages 47-54
On the Vanishing Viscosity Approximation of a Time Dependent Hamilton-Jacobi Equation....Pages 55-58
Some Remarks on a Nonlinear Model of Competitive Equilibrium....Pages 59-75
Almost Discrete Convergence....Pages 77-82
Nonlinear Stability of Eigenvalues of Compact Self-Adjoint Operators....Pages 83-92
A Bifurcation Theorem for Lagrangian Intersections....Pages 93-103
La valutazione di opzioni implicite nei mutui bancari....Pages 105-115
Continuity of Near-Duality Maps and Characterizations of Ideal Spaces of Measurable Functions....Pages 117-137
A Spectral Theory for Semilinear Operators and its Applications....Pages 139-148
Feedback Stability of Closed Sets for Nonlinear Control Systems....Pages 149-163
Two Mechanical Systems and Equivariant Degree....Pages 165-175
On the Semilinear Dirichlet Problem for a Class of Nonlocal Operators Generating Dirichlet Forms....Pages 177-190
Bifurcation for One-Parameter Families of Scalar Maps: A Geometric Viewpoint....Pages 191-204
Mountain Pass and Linking Type Solutions for Semilinear Dirichlet Forms....Pages 205-215
Self-Similar Measures in Quasi-Metric Spaces....Pages 217-231
....Pages 233-248