| Description |
1 online resource |
| Series |
Springer INdAM series, 2281-518X ; v. 2 |
|
Springer INdAM series ; v. 2.
|
| Contents |
Stability and Instability of Group Invariant Asymptotic Profiles for Fast Diffusion Equations / Goro Akagi -- A Family of Hardy-Rellich Type Inequalities Involving the L 2-Norm of the Hessian Matrices / Elvise Berchio -- Power Concavity for Solutions of Nonlinear Elliptic Problems in Convex Domains / Massimiliano Bianchini, Paolo Salani -- The Heart of a Convex Body / Lorenzo Brasco, Rolando Magnanini -- A Viscosity Equation for Minimizers of a Class of Very Degenerate Elliptic Functionals / Giulio Ciraolo -- Kato's Inequality in the Half Space: An Alternative Proof and Relative Improvements / Adele Ferone -- Sharp Bounds for the p-Torsion of Convex Planar Domains / Ilaria Fragalà, Filippo Gazzola -- Geometric Analysis of Fractional Phase Transition Interfaces / Giovanni Franzina -- Existence of Solutions to Some Classical Variational Problems / Antonio Greco -- Existence of Minimizers for Some Coupled Nonlinear Schrödinger Equations / Norihisa Ikoma -- Decay Rate of L q Norms of Critical Schrödinger Heat Semigroups / Kazuhiro Ishige, Yoshitsugu Kabeya -- Hadamard Variation for Electromagnetic Frequencies / Shuichi Jimbo -- Global Structure of the Solution Set for a Semilinear Elliptic Problem Related to the Liouville Equation on an Annulus / Toru Kan -- A Priori Estimates and Comparison Principle for Some Nonlinear Elliptic Equations / Anna Mercaldo -- Existence and Uniqueness of the n-Dimensional Helfrich Flow / Takeyuki Nagasawa -- Ground States for Elliptic Equations in RR2 with Exponential Critical Growth / Bernhard Ruf, Federica Sani -- Stationary Level Surfaces and Liouville-Type Theorems Characterizing Hyperplanes / Shigeru Sakaguchi -- Nonexistence of Multi-bubble Solutions for a Higher Order Mean Field Equation on Convex Domains / Futoshi Takahashi |
| Summary |
The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understood quite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an increasing number of researchers and is now a broad and well-established research area, with contributions that often come from experts from disparate areas of mathematics, such as differential and convex geometry, functional analysis, calculus of variations, mathematical physics, to name a few. This volume collects a selection of original results and informative surveys by a group of international specialists in the field, analyzes new trends and techniques and aims at promoting scientific collaboration and stimulating future developments and perspectives in this very active area of research |
| Analysis |
Mathematics |
|
Global analysis (Mathematics) |
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Functional analysis |
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Discrete groups |
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Global differential geometry |
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Mathematical optimization |
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Partial Differential Equations |
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Differential Geometry |
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Calculus of Variations and Optimal Control; Optimization |
| Bibliography |
Includes bibliographical references |
| Subject |
Geometric analysis.
|
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Differential equations, Parabolic.
|
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Differential equations, Elliptic.
|
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MATHEMATICS -- Calculus.
|
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MATHEMATICS -- Mathematical Analysis.
|
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Geometría analítica
|
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Ecuaciones diferenciales parabólicas
|
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Ecuaciones diferenciales elípticas
|
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Differential equations, Elliptic
|
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Differential equations, Parabolic
|
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Geometric analysis
|
| Form |
Electronic book
|
| Author |
Magnanini, Rolando
|
|
Sakaguchi, Shigeru
|
|
Alvino, A
|
| ISBN |
9788847028418 |
|
8847028418 |
|
884702840X |
|
9788847028401 |
|
9781283910019 |
|
1283910012 |
|
