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1. Introduzione alla teoria della misura e all’analisi funzionale
by Piermarco Cannarsa, Teresa D’Aprile
出版情報: Milano : Springer Milan, 2008
シリーズ名: UNITEXT ;
オンライン: http://dx.doi.org/10.1007/978-88-470-0702-4
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2. Methods of Nonlinear Analysis : Applications to Differential Equations. 2nd ed. 2013
by Pavel Drábek, Jaroslav Milota
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2013
シリーズ名: Birkhäuser Advanced Texts Basler Lehrbücher ;
オンライン: http://dx.doi.org/10.1007/978-3-0348-0387-8
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目次情報: 続きを見る
Preface
1 Preliminaries
2 Properties of Linear and Nonlinear Operators
3 Abstract Integral and Differential Calculus
4 Local Properties of Differentiable Mappings
5 Topological and Monotonicity Methods
6 Variational Methods
7 Boundary Value Problems for Partial Differential Equations
Summary of Methods
Typical Applications
Comparison of Bifurcation Results
List of Symbols
Index
Bibliography
Preface
1 Preliminaries
2 Properties of Linear and Nonlinear Operators
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3. Geometric Properties for Parabolic and Elliptic PDE's
edited by Rolando Magnanini, Shigeru Sakaguchi, Angelo Alvino
出版情報: Milano : Springer Milan : Imprint: Springer, 2013
シリーズ名: Springer INdAM Series ; 2
オンライン: http://dx.doi.org/10.1007/978-88-470-2841-8
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Goro Akagi, Stability and instability of group invariant asymptotic profiles for fast diffusion equations
Elvise Berchio, A family of Hardy-Rellich type inequalities involving the L2-norm of the Hessian matrices
Massimiliano Bianchini and Paolo Salani, Power concavity for solutions of nonlinear elliptic problems in convex domains
Lorenzo Brasco and Rolando Magnanini, The heart of a convex set
Giulio Ciraolo, A viscosity equation for minimizers of a class of very degenerate elliptic functionals
Adele Ferone, Kato's inequality in the half space: an alternative proof and relative improvements
Ilaria Fragalà, Filippo Gazzola and Jimmy Lamboley, Sharp bounds for the p-torsion of convex planar domains
Giovanni Franzina and Enrico Valdinoci, Geometric analysis of fractional phase transition interfaces
Antonio Greco, Existence of solutions to some classical variational problems
Norihisa Ikoma, Existence of minimizers for some coupled nonlinear Schrödinger equations
Kazuhiro Ishige and Yoshitsugu Kabeya, Decay rate of Lq norms of critical Schrödinger heat semigroups
Shuichi Jimbo, Hadamard variation for electromagnetic frequencies
Toru Kan, Global structure of the solution set for a semilinear elliptic problem related to the Liouville equation on an annulus
Anna Mercaldo, A priori estimates and comparison principle for some nonlinear elliptic equations
Takeyuki Nagasawa, Existence and uniqueness of the n-dimensional Helfrich flow
Bernhard Ruf and Federica Sani, Ground states for elliptic equations in R2 with exponential critical growth
Shigeru Sakaguchi, Stationary level surfaces and Liouville-type theorems characterizing hyperplanes
Futoshi Takahashi, Nonexistence of multi-bubble solutions for a higher order mean field on equation on convex domains
Goro Akagi, Stability and instability of group invariant asymptotic profiles for fast diffusion equations
Elvise Berchio, A family of Hardy-Rellich type inequalities involving the L2-norm of the Hessian matrices
Massimiliano Bianchini and Paolo Salani, Power concavity for solutions of nonlinear elliptic problems in convex domains
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4. Geometric Methods in PDE’s. 1st ed. 2015
edited by Giovanna Citti, Maria Manfredini, Daniele Morbidelli, Sergio Polidoro, Francesco Uguzzoni
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Springer INdAM Series ; 13
オンライン: http://dx.doi.org/10.1007/978-3-319-02666-4
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1 On Friedrichs commutators lemma for Hardy spaces and applications. Jorge Hounie
2 On the Hardy constant of some non-convex planar domains. Gerassimos Barbatis and Achilles Tertikas
3 Sharp singular Trudinger-Moser-Adams type inequalities with exact growth. Nguyen Lam and Guozhen Lu. 4 A Quantitative Lusin Theorem for Functions in BV. András Telcs and Vincenzo Vespri
5 X-Elliptic Harmonic Maps. Sorin Dragomir
6 Sum operators and Fefferman - Phong inequalities. Giuseppe Di Fazio, Maria Stella Fanciullo, Pietro Zamboni
7 Lp-parabolic regularity and non-degenerate Ornstein-Uhlenbeck type Operators. Enrico Priola
8 Local solvability of nonsmooth Hörmander’s operators. Marco Bramanti
9 Multiple solutions for an eigenvalue problem involving non–local elliptic p–Laplacian operators. Patrizia Pucci and Sara Saldi
10 Uniqueness of solutions of a class of quasilinear subelliptic equations. Lorenzo D’Ambrosio and Enzo Mitidieri
11 Liouville type theorems for non-linear differential inequalities on Carnot groups. Luca Brandolini and Marco Magliaro
12 Modica type gradient estimates for reaction-diffusion equations. Agnid Banerjee and Nicola Garofalo
13 A few recent results on fully nonlinear pde’s. Italo Capuzzo Dolcetta
14 Hölder regularity of the gradient for solutions of fully nonlinear equations with sub linear first order term. Isabeau Birindelli and Francoise Demengel
15 The Reflector Problem and the inverse square law. Cristian E. Gutiérrez and Ahmad Sabra
16 Gagliardo-Nirenberg inequalities for horizontal vector fields in the Engel group and in the 7-dimensional quaternionic Heisenberg group. Annalisa Baldi, Bruno Franchi and Francesca Tripaldi
17 Regularity of the free boundary in problems with distributed sources. Daniela De Silva, Fausto Ferrari, Sandro Salsa
18 The role of fundamental solution in Potential and Regularity Theory for subelliptic PDE. Andrea Bonfiglioli, Giovanna Citti, Giovanni Cupini, Maria Manfredini, Annamaria Montanari, Daniele Morbidelli, Andrea Pascucci, Sergio Polidoro, Francesco Uguzzoni
1 On Friedrichs commutators lemma for Hardy spaces and applications. Jorge Hounie
2 On the Hardy constant of some non-convex planar domains. Gerassimos Barbatis and Achilles Tertikas
3 Sharp singular Trudinger-Moser-Adams type inequalities with exact growth. Nguyen Lam and Guozhen Lu. 4 A Quantitative Lusin Theorem for Functions in BV. András Telcs and Vincenzo Vespri
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5. Methods of Nonlinear Analysis : Applications to Differential Equations
by Pavel Drábek, Jaroslav Milota
出版情報: Basel : Birkhäuser Verlag AG, 2007
シリーズ名: Birkhäuser Advanced Texts / Basler Lehrbücher ;
オンライン: http://dx.doi.org/10.1007/978-3-7643-8147-9
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6. Sign-Changing Critical Point Theory
by Wenming Zou
出版情報: Boston, MA : Springer-Verlag US, 2008
オンライン: http://dx.doi.org/10.1007/978-0-387-76657-7
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7. Nonlinear PDE’s and Applications : C.I.M.E. Summer School, Cetraro, Italy 2008, Editors: Luigi Ambrosio, Giuseppe Savaré
by Stefano Bianchini, Eric A. Carlen, Alexander Mielke, Cédric Villani
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2028
オンライン: http://dx.doi.org/10.1007/978-3-642-21861-3
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8. Local Minimization, Variational Evolution and Γ-Convergence
by Andrea Braides
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2094
オンライン: http://dx.doi.org/10.1007/978-3-319-01982-6
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目次情報: 続きを見る
Introduction
Global minimization
Parameterized motion driven by global minimization
Local minimization as a selection criterion
Convergence of local minimizers
Small-scale stability
Minimizing movements
Minimizing movements along a sequence of functionals
Geometric minimizing movements
Different time scales
Stability theorems
Index
Introduction
Global minimization
Parameterized motion driven by global minimization