Variational Methods for Nonlocal Fractional Problems by Raffaella Servadei
This book provides researchers and graduate students with a thorough introduction to the variational analysis of nonlinear problems described by nonlocal operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations, plus their application to various processes arising in the applied sciences. The equations are examined from several viewpoints, with the calculus of variations as the unifying theme. Part I begins the book with some basic facts about fractional Sobolev spaces. Part II is dedicated to the analysis of fractional elliptic problems involving subcritical nonlinearities, via classical variational methods and other novel approaches. Finally, Part III contains a selection of recent results on critical fractional equations. A careful balance is struck between rigorous mathematics and physical applications, allowing readers to see how these diverse topics relate to other important areas, including topology, functional analysis, mathematical physics, and potential theory.-
The Theory of Partitions
-
The Banach-Tarski Paradox
-
Special Functions
-
Equivalents of the Riemann Hypothesis: Volume 1, Arithmetic Equivalents
-
Non-Associative Normed Algebras
-
Finite Precision Number Systems and Arithmetic
-
The Classical Fields
-
Handbook of Constructive Mathematics
-
Aperiodic Order: Volume 2, Crystallography and Almost Periodicity
-
Polynomials with Special Regard to Reducibility
-
Boolean Functions
-
Categorical Foundations
-
Introduction to the Network Approximation Method for Materials Modeling
-
Proof Complexity
-
Asymptotic Analysis of Random Walks
-
Contact Geometry and Nonlinear Differential Equations
-
Lie's Structural Approach to PDE Systems
-
Sub-Riemannian Geometry
-
Combinatorics, Automata and Number Theory
-
Ergodic Control of Diffusion Processes
-
Algorithmic Aspects of Graph Connectivity
-
Topics in Algorithmic Graph Theory
-
Exact and Approximate Controllability for Distributed Parameter Systems
-
Mathematics of the Bond Market
-
Orthogonal Polynomials in the Spectral Analysis of Markov Processes
-
Real Analysis through Modern Infinitesimals
-
Introduction to Radon Transforms
-
Lattice Sums Then and Now
-
The Racah-Wigner Algebra in Quantum Theory
-
Boolean Models and Methods in Mathematics, Computer Science, and Engineering
-
Exact Constants in Approximation Theory
-
An Algebraic Introduction to K-Theory
-
Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond
-
Infinite Dimensional Optimization and Control Theory
-
Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras
-
Geometry of Sporadic Groups: Volume 2, Representations and Amalgams
-
Ultrametric Pseudodifferential Equations and Applications
-
Compound Renewal Processes
-
General Orthogonal Polynomials
-
The Theory of Information and Coding
-
Convex Polytopes and Polyhedra
-
Stopping Times and Directed Processes
-
Nonnegative Matrices and Applications
-
Random Graphs
Giovanni Molica Bisci is Assistant Professor of Mathematical Analysis at the Universit... 'Mediterranea' di Reggio Calabria. He is the author of more than 90 research papers in nonlinear analysis. Vicentiu D. Radulescu is Distinguished Adjunct Professor at King Abdulaziz University in Jeddah, Saudi Arabia, and a professorial fellow at the 'Simion Stoilow' Mathematics Institute of the Romanian Academy. He is the author of several books and more than 200 research papers in nonlinear analysis. Since 2014 he is a Highly Cited Researcher (Thomson Reuters). Raffaella Servadei is Associate Professor of Mathematical Analysis at the Universit... degli Studi di Urbino 'Carlo Bo'. She has authored more than 40 research papers in nonlinear analysis.
| SKU | Unavailable |
| ISBN 13 | 9781107111943 |
| ISBN 10 | 1107111943 |
| Title | Variational Methods for Nonlocal Fractional Problems |
| Author | Vicentiu Radulescu |
| Series | Encyclopedia Of Mathematics And Its Applications |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Cambridge University Press |
| Year published | 2016-03-11 |
| Number of pages | 400 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |