Document Type
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BL
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Record Number
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700583
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Doc. No
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b522772
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Main Entry
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Rabinowitz, Paul H
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Title & Author
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Extensions of Moser-Bangert theory : : locally minimal solutions /\ Paul H. Rabinowitz, Edward W. Stredulinsky
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Publication Statement
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New York :: Birkhäuser :, [2011]
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: Springer,, [2011]
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, ©2011
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Series Statement
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Progress in nonlinear differential equations and their applications ;; v. 81
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Page. NO
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viii, 208 pages,; 25 cm
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ISBN
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0817681167
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: 9780817681166
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Bibliographies/Indexes
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Includes bibliographic references (pages 205-206) and index
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Contents
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Pt.1. Basic solutions -- Pt.2. Shadowing cases -- Pt.3. Solutions of (PDE) defind on R² x T[superscript n]⁻²
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Abstract
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"With the goal of establishing a version for partial differential equations (PDEs) of the Aubry-Mather theory of monotone twist maps, Moser and then Bangert studied solutions of their model equations that possessed certain minimality and monotonicity properties. This monograph presents extensions of the Moser-Bangert approach that include solutions of a family of nonlinear elliptic PDEs on R[superscript n] and an Allen-Cahn PDE model of phase transitions."--P. [4] of cover
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"With the goal of establishing a version for partial differential equations (PDEs) of the Aubry-Mather theory of monotone twist maps, Moser and then Bangert studied solutions of their model equations that possessed certain minimality and monotonicity properties. This monograph presents extensions of the Moser-Bangert approach that include solutions of a family of nonlinear elliptic PDEs on R[superscript n] and an Allen-Cahn PDE model of phase transitions."--P. [4] of cover
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Subject
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9780754660545
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Bibliographies/Indexes
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Includes bibliographical references.
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Contents
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pt. 1. The concept of natural law -- Natural law as a limiting concept: a reading of Thomas Aquinas.
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pt. 2. Historical studies -- Natural law and the human city -- The formal fundament of natural law in the Golden Age: the case of V́ázquez and Suárez -- Natural law without metaphysics: a protestant tradition -- Natural law and obligation in Hutcheson and Kant -- Spontaneity and the law of nature: Leibniz and pre-critical Kant -- Kant's conception of natural right -- The right of freedom regarding nature in Hegel's Philosophy of Right.
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pt. 3. Controversial issues about natural law -- Natural law and practical philosophy: the presence of a theological concept in moral knowledge -- First principles and practical philosophy -- The relativity of goodness: a prolegomenon to a rapprochement between virtue ethics and natural law theory -- Does the naturalistic fallacy reach natural law? -- Human universality and natural law.
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