Variational methods: applications to nonlinear partial differential equations and Hamiltonian systems
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2000
|
| Ausgabe: | 3. ed. |
| Schriftenreihe: | [Ergebnisse der Mathematik und ihrer Grenzgebiete / 3]
34 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVIII, 274 S. graph. Darst. |
| ISBN: | 3540664793 |
Internformat
MARC
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| 245 | 1 | 0 | |a Variational methods |b applications to nonlinear partial differential equations and Hamiltonian systems |c Michael Struwe |
| 250 | |a 3. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2000 | |
| 300 | |a XVIII, 274 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a [Ergebnisse der Mathematik und ihrer Grenzgebiete / 3] |v 34 | |
| 650 | 7 | |a Calcul des variations |2 ram | |
| 650 | 7 | |a Dynamische systemen |2 gtt | |
| 650 | 7 | |a Hamilton-vergelijkingen |2 gtt | |
| 650 | 7 | |a Niet-lineaire vergelijkingen |2 gtt | |
| 650 | 7 | |a Partiële differentiaalvergelijkingen |2 gtt | |
| 650 | 7 | |a Systèmes hamiltoniens |2 ram | |
| 650 | 7 | |a Variatieproblemen |2 gtt | |
| 650 | 7 | |a Équations différentielles non linéaires |2 ram | |
| 650 | 4 | |a Calculus of variations | |
| 650 | 4 | |a Differential equations, Nonlinear | |
| 650 | 4 | |a Hamiltonian systems | |
| 650 | 0 | 7 | |a Nichtlineare Differentialgleichung |0 (DE-588)4205536-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Variationsrechnung |0 (DE-588)4062355-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineare partielle Differentialgleichung |0 (DE-588)4128900-6 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804127666052268032 |
|---|---|
| adam_text | CONTENTS CHAPTER I. THE DIRECT METHODS IN THE CALCULUS OF VARIATIONS
.......... 1 1. LOWER SEMI-CONTINUITY
.......................................... 2 DEGENERATE ELLIPTIC
EQUATIONS, 4 * MINIMAL PARTITIONING HYPERSURFACES, 6 * MINIMAL
HYPERSURFACES IN RIEMANNIAN MANIFOLDS, 7 * A GENERAL LOWER
SEMI-CONTINUITY RESULT, 8 2. CONSTRAINTS
..................................................... 13 SEMI-LINEAR
ELLIPTIC BOUNDARY VALUE PROBLEMS, 14 * PERRON*S METHOD IN A VARIATIONAL
GUISE, 16 * THE CLASSICAL PLATEAU PROBLEM, 19 3. COMPENSATED COMPACTNESS
...................................... 25 APPLICATIONS IN ELASTICITY, 29
* CONVERGENCE RESULTS FOR NONLINEAR ELLIPTIC EQUATIONS, 32 * HARDY SPACE
METHODS, 35 4. THE CONCENTRATION-COMPACTNESS PRINCIPLE
....................... 36 EXISTENCE OF EXTREMAL FUNCTIONS FOR SOBOLEV
EMBEDDINGS, 42 5. EKELAND*S VARIATIONAL PRINCIPLE
.................................. 51 EXISTENCE OF MINIMIZERS FOR
QUASI-CONVEX FUNCTIONALS, 54 6. DUALITY
......................................................... 57 HAMILTONIAN
SYSTEMS, 60 * PERIODIC SOLUTIONS OF NONLINEAR WAVE-EQUATIONS, 65 7.
MINIMIZATION PROBLEMS DEPENDING ON PARAMETERS ............... 69
HARMONIC MAPS WITH SINGULARITIES, 71 CHAPTER II. MINIMAX METHODS
........................................ 74 1. THE FINITE DIMENSIONAL
CASE .................................... 74 2. THE PALAIS-SMALE
CONDITION ..................................... 77 3. A GENERAL
DEFORMATION LEMMA .................................. 81 PSEUDO-GRADIENT
FLOWS ON BANACH SPACES, 81 * PSEUDO-GRADIENT FLOWS ON MANIFOLDS, 85 4.
THE MINIMAX PRINCIPLE .......................................... 87
CLOSED GEODESICS ON SPHERES, 89 XIV CONTENTS 5. INDEX THEORY
................................................... 94 KRASNOSELSKII
GENUS, 94 * MINIMAX PRINCIPLES FOR EVEN FUNCTIONALS, 96 * APPLICATIONS
TO SEMILINEAR ELLIPTIC PROBLEMS, 98 * GENERAL INDEX THEORIES, 99 *
LJUSTERNIK-SCHNIRELMAN CATEGORY, 100 * A GEOMETRICAL S 1 -INDEX, 101 *
MULTIPLE PERIODIC ORBITS OF HAMILTONIAN SYSTEMS, 103 6. THE MOUNTAIN
PASS LEMMA AND ITS VARIANTS ..................... 108 APPLICATIONS TO
SEMILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS, 110 * THE SYMMETRIC
MOUNTAIN PASS LEMMA, 112 * APPLICATION TO SEMILINEAR EQUA- TIONS WITH
SYMMETRY, 116 7. PERTURBATION THEORY
............................................ 118 APPLICATIONS TO
SEMILINEAR ELLIPTIC EQUATIONS, 120 8. LINKING
......................................................... 125
APPLICATIONS TO SEMILINEAR ELLIPTIC EQUATIONS, 128 * APPLICATIONS TO
HAMIL- TONIAN SYSTEMS, 130 9. PARAMETER DEPENDENCE
.......................................... 137 10. CRITICAL POINTS OF
MOUNTAIN PASS TYPE ........................... 143 MULTIPLE SOLUTIONS OF
COERCIVE ELLIPTIC PROBLEMS, 147 11. NON-DIFFERENTIABLE FUNCTIONALS
................................... 150 12. LJUSTERNIK-SCHNIRELMAN
THEORY ON CONVEX SETS .................. 162 APPLICATIONS TO SEMILINEAR
ELLIPTIC BOUNDARY VALUE PROBLEMS, 166 CHAPTER III. LIMIT CASES OF THE
PALAIS-SMALE CONDITION ............... 169 1. POHO* ZAEV*S NON-EXISTENCE
RESULT ................................ 170 2. THE BREZIS-NIRENBERG
RESULT ..................................... 173 CONSTRAINED
MINIMIZATION, 174 * THE UNCONSTRAINED CASE: LOCAL COMPACT- NESS, 175 *
MULTIPLE SOLUTIONS, 180 3. THE EFFECT OF TOPOLOGY
.......................................... 183 A GLOBAL COMPACTNESS
RESULT, 184 * POSITIVE SOLUTIONS ON ANNULAR-SHAPED REGIONS, 190 4. THE
YAMABE PROBLEM ........................................... 193 5. THE
DIRICHLET PROBLEM FOR THE EQUATION OF CONSTANT MEAN CURVATURE 203 SMALL
SOLUTIONS, 204 * THE VOLUME FUNCTIONAL, 206 * WENTE*S UNIQUENESS RESULT,
208 * LOCAL COMPACTNESS, 209 * LARGE SOLUTIONS, 212 CONTENTS XV 6.
HARMONIC MAPS OF RIEMANNIAN SURFACES ......................... 214 THE
EULER-LAGRANGE EQUATIONS FOR HARMONIC MAPS, 215 * BOCHNER IDENTITY, 217
* THE HOMOTOPY PROBLEM AND ITS FUNCTIONAL ANALYTIC SETTING, 217 *
EXISTENCE AND NON-EXISTENCE RESULTS, 220 * THE EVOLUTION OF HARMONIC
MAPS, 221 APPENDIX A
......................................................... 237 SOBOLEV
SPACES, 237 * H¨ OLDER SPACES, 238 * IMBEDDING THEOREMS, 238 * DENSITY
THEOREM, 239 * TRACE AND EXTENSION THEOREMS, 239 * POINCAR´ E
INEQUALITY, 240 APPENDIX B
.......................................................... 242 SCHAUDER
ESTIMATES, 242 * L P -THEORY, 242 * WEAK SOLUTIONS, 243 * A REG- ULARITY
RESULT, 243 * MAXIMUM PRINCIPLE, 245 * WEAK MAXIMUM PRINCIPLE, 246 *
APPLICATION, 247 APPENDIX C
.......................................................... 248 FR´ ECHET
DIFFERENTIABILITY, 248 * NATURAL GROWTH CONDITIONS, 250 REFERENCES
........................................................... 251 INDEX
................................................................ 273
|
| any_adam_object | 1 |
| author | Struwe, Michael 1955- |
| author_GND | (DE-588)121295990 |
| author_facet | Struwe, Michael 1955- |
| author_role | aut |
| author_sort | Struwe, Michael 1955- |
| author_variant | m s ms |
| building | Verbundindex |
| bvnumber | BV012970457 |
| callnumber-first | Q - Science |
| callnumber-label | QA316 |
| callnumber-raw | QA316 |
| callnumber-search | QA316 |
| callnumber-sort | QA 3316 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 540 SK 660 |
| classification_tum | MAT 352f |
| ctrlnum | (OCoLC)42619788 (DE-599)BVBBV012970457 |
| dewey-full | 515/.64 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.64 |
| dewey-search | 515/.64 |
| dewey-sort | 3515 264 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV012970457 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:36:58Z |
| institution | BVB |
| isbn | 3540664793 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008835626 |
| oclc_num | 42619788 |
| open_access_boolean | |
| owner | DE-29T DE-91G DE-BY-TUM DE-703 DE-355 DE-BY-UBR DE-824 DE-384 DE-634 DE-11 |
| owner_facet | DE-29T DE-91G DE-BY-TUM DE-703 DE-355 DE-BY-UBR DE-824 DE-384 DE-634 DE-11 |
| physical | XVIII, 274 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer |
| record_format | marc |
| series2 | [Ergebnisse der Mathematik und ihrer Grenzgebiete / 3] |
| spelling | Struwe, Michael 1955- Verfasser (DE-588)121295990 aut Variational methods applications to nonlinear partial differential equations and Hamiltonian systems Michael Struwe 3. ed. Berlin [u.a.] Springer 2000 XVIII, 274 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier [Ergebnisse der Mathematik und ihrer Grenzgebiete / 3] 34 Calcul des variations ram Dynamische systemen gtt Hamilton-vergelijkingen gtt Niet-lineaire vergelijkingen gtt Partiële differentiaalvergelijkingen gtt Systèmes hamiltoniens ram Variatieproblemen gtt Équations différentielles non linéaires ram Calculus of variations Differential equations, Nonlinear Hamiltonian systems Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd rswk-swf Hamiltonsches System (DE-588)4139943-2 gnd rswk-swf Hamiltonsches System (DE-588)4139943-2 s Variationsrechnung (DE-588)4062355-5 s DE-604 Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 s Nichtlineare Differentialgleichung (DE-588)4205536-2 s 1\p DE-604 3] [Ergebnisse der Mathematik und ihrer Grenzgebiete 34 (DE-604)BV000899194 34 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008835626&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Struwe, Michael 1955- Variational methods applications to nonlinear partial differential equations and Hamiltonian systems Calcul des variations ram Dynamische systemen gtt Hamilton-vergelijkingen gtt Niet-lineaire vergelijkingen gtt Partiële differentiaalvergelijkingen gtt Systèmes hamiltoniens ram Variatieproblemen gtt Équations différentielles non linéaires ram Calculus of variations Differential equations, Nonlinear Hamiltonian systems Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Variationsrechnung (DE-588)4062355-5 gnd Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd Hamiltonsches System (DE-588)4139943-2 gnd |
| subject_GND | (DE-588)4205536-2 (DE-588)4062355-5 (DE-588)4128900-6 (DE-588)4139943-2 |
| title | Variational methods applications to nonlinear partial differential equations and Hamiltonian systems |
| title_auth | Variational methods applications to nonlinear partial differential equations and Hamiltonian systems |
| title_exact_search | Variational methods applications to nonlinear partial differential equations and Hamiltonian systems |
| title_full | Variational methods applications to nonlinear partial differential equations and Hamiltonian systems Michael Struwe |
| title_fullStr | Variational methods applications to nonlinear partial differential equations and Hamiltonian systems Michael Struwe |
| title_full_unstemmed | Variational methods applications to nonlinear partial differential equations and Hamiltonian systems Michael Struwe |
| title_short | Variational methods |
| title_sort | variational methods applications to nonlinear partial differential equations and hamiltonian systems |
| title_sub | applications to nonlinear partial differential equations and Hamiltonian systems |
| topic | Calcul des variations ram Dynamische systemen gtt Hamilton-vergelijkingen gtt Niet-lineaire vergelijkingen gtt Partiële differentiaalvergelijkingen gtt Systèmes hamiltoniens ram Variatieproblemen gtt Équations différentielles non linéaires ram Calculus of variations Differential equations, Nonlinear Hamiltonian systems Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Variationsrechnung (DE-588)4062355-5 gnd Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd Hamiltonsches System (DE-588)4139943-2 gnd |
| topic_facet | Calcul des variations Dynamische systemen Hamilton-vergelijkingen Niet-lineaire vergelijkingen Partiële differentiaalvergelijkingen Systèmes hamiltoniens Variatieproblemen Équations différentielles non linéaires Calculus of variations Differential equations, Nonlinear Hamiltonian systems Nichtlineare Differentialgleichung Variationsrechnung Nichtlineare partielle Differentialgleichung Hamiltonsches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008835626&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000899194 |
| work_keys_str_mv | AT struwemichael variationalmethodsapplicationstononlinearpartialdifferentialequationsandhamiltoniansystems |