Geometric analysis and PDEs: lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11 - 16, 2007
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2009
|
| Series: | Lecture notes in mathematics
1977 |
| Subjects: | |
| Online Access: | Kapitel 1 Vorwort 1 Inhaltsverzeichnis |
| Physical Description: | XIII, 278 S. graph. Darst. |
| ISBN: | 9783642016738 |
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MARC
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| 245 | 1 | 0 | |a Geometric analysis and PDEs |b lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11 - 16, 2007 |c Matthew J. Gursky ... Ed.: Antonio Ambrosetti ... |
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Record in the Search Index
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| adam_text | CONTENTS PDES IN CONFORMAI GEOMETRY 1 MATTHEW J. GURSKY 1 INTRODUCTION 1
2 SOME BACKGROUND FROM RIEMANNIAN GEOMETRY 2 2.1 SOME DIFFERENTIAL
OPERATORS 2 3 SOME BACKGROUND FROM ELLIPTIC THEORY 6 4 BACKGROUND FROM
CONFORMAI GEOMETRY 10 5 A FULLY NONLINEAR YAMABE PROBLEM 15 5.1
ELLIPTICITY 17 5.2 FROM LOWER TO HIGHER ORDER ESTIMATES 18 5.3 AN
EXISTENCE RESULT: FOUR DIMENSIONS 19 G THE FUNCTIONAL DETERMINANT 22 6.1
THE CASE OF SURFACES 23 6.2 FOUR DIMENSIONS 24 6.3 THE EULER EQUATION 27
6.4 EXISTENCE OF EXTREMALS 28 6.5 SKETCH OF THE PROOF 30 REFERENCES 32
HEAT KERNELS IN SUB-RIEMANNIAN SETTINGS 35 ERMANNO LANCONELLI 1 LECTURE
TOPICS 35 2 A MOTIVATION: LEVI CURVATURES AND MOTION BY LEVI
CURVATURES.... 38 3 HEAT KERNELS AND GAUSSIAN BOUNDS: PAST HISTORY 40 4
CARNOT-CARATHEODORY METRIC 42 5 HEAT-TYPE OPERATORS WITH CONSTANT
COEFFICIENTS 43 6 HEAT-TYPE OPERATORS WITH VARIABLE COEFFICIENTS. THE
LEVI PARAMETRIX METHOD 45 7 HADAMARD-PINI INVARIANT HARNACK INEQUALITY
49 REFERENCES 60 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/994282834 DIGITALISIERT DURCH XII CONTENTS
CONCENTRATION OF SOLUTIONS FOR SOME SINGULARLY PERTURBED NEUMANN
PROBLEMS 63 ANDREA MALCHIODI 1 INTRODUCTION 63 PART I CONCENTRATION AT
POINTS 2 PERTURBATION IN CRITICAL POINT THEORY 70 2.1 THE
FINITE-DIMENSIONAL REDUCTION 71 2.2 EXISTENCE OF CRITICAL POINTS 73 3
APPLICATION TO THE STUDY OF P E 76 3.1 STUDY OF KER[T{U)] AND KER L +
{U)} 76 3.2 PROOF OF THEOREM 1 81 3.3 PROOF OF THEOREM 2 85 PART II
HIGHER-DIMENSIONAL CONCENTRATION 4 SOME PRELIMINARY FACTS 96 5 AN
APPROXIMATE SOLUTION 104 6 EIGENVALUES OF THE LINEARIZED EQUATION 107 7
PROOF OF THEOREM 3 ILL REFERENCES 113 ON SOME ELLIPTIC PROBLEMS IN THE
STUDY OF SELFDUAL CHERN-SIMONS VORTICES 117 GABRIELLA TARANTELLO 1
INTRODUCTION 117 2 THE ABELIAN-HIGGS MODEL AND THE CHERN-SIMONS-HIGGS
MODEL .... 119 3 SELFDUALITY 123 4 ON THE ELLIPTIC PROBLEM CONCERNING
ABELIAN-HIGGS VORTICES 132 5 ON THE ELLIPTIC PROBLEM OF SELFDUAL
CHERN-SIMONS VORTICES 145 5.1 TOPOLOGICAL CHERN-SIMONS VORITCES 147 5.2
NON TOPOLOGICAL CHERN-SIMONS VORTICES 154 REFERENCES 166 THE FC-HESSIAN
EQUATION 177 XU-JI CONTENTS XIII 3 THE DIRICHLET PROBLEM 184 3.1 A
PRIORI ESTIMATES 184 3.2 REGULARITY FOR FULLY NONLINEAR, UNIFORMLY
ELLIPTIC EQUATION .. . 188 3.3 EXISTENCE OF SMOOTH SOLUTIONS 189 3.4
REMARKS 190 4 INTERIOR A PRIORI ESTIMATES 191 4.1 INTERIOR GRADIENT
ESTIMATE 191 4.2 HARNACK INEQUALITY 192 4.3 INTERIOR SECOND DERIVATIVE
ESTIMATE 194 5 SOBOLEV TYPE INEQUALITIES 198 5.1 SOBOLEV TYPE
INEQUALITIES 199 5.2 COMPACTNESS 204 5.3 AN L 00 ESTIMATE 205 6
VARIATIONAL PROBLEMS 208 6.1 THE SUBLINEAR GROWTH CASE 209 6.2 THE
EIGENVALUE PROBLEM 210 6.3 SUPERLINEAR GROWTH CASE 212 6.4 THE CRITICAL
GROWTH CASE 218 7 HESSIAN INTEGRAL ESTIMATES 224 7.1 A BASIC ESTIMATE
224 7.2 LOCAL INTEGRAL GRADIENT ESTIMATES 225 8 HESSIAN MEASURES 230 8.1
NON-SMOOTH K- ADMISSIBLE FUNCTIONS 230 8.2 PERRON LIFTING 232 8.3 WEAK
CONTINUITY 234 8.4 THE DIRICHLET PROBLEM 236 9 LOCAL BEHAVIOR OF
ADMISSIBLE FUNCTIONS 239 9.1 THE WOLFF POTENTIAL ESTIMATE 239 9.2 HOLDER
CONTINUITY OF WEAK SOLUTIONS 241 10 PARABOLIC HESSIAN EQUATIONS 243 11
EXAMPLES OF FULLY NONLINEAR ELLIPTIC EQUATIONS 248 REFERENCES 250
MINIMAL SURFACES IN CR GEOMETRY 253 PAUL YANG 1 PSEUDO-HERMITIAN
STRUCTURE 253 2 AREA OF A SURFACE IN (M 3
|
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| spelling | Geometric analysis and PDEs lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11 - 16, 2007 Matthew J. Gursky ... Ed.: Antonio Ambrosetti ... Berlin [u.a.] Springer 2009 XIII, 278 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1977 Partielle Differentialgleichung - Geometrische Analysis - Kongress - Cetraro <2007> Differential equations, Partial Congresses Geometric analysis Congresses Geometrische Analysis (DE-588)4156708-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 2007 Cetraro gnd-content Partielle Differentialgleichung (DE-588)4044779-0 s Geometrische Analysis (DE-588)4156708-0 s DE-604 Gursky, Matthew J. Sonstige oth Ambrosetti, Antonio 1944-2020 Sonstige (DE-588)111667070 oth Centro Internazionale Matematico Estivo Sonstige (DE-588)1025933-8 oth Erscheint auch als Online-Ausgabe 978-3-642-01674-5 Lecture notes in mathematics 1977 (DE-604)BV000676446 1977 DE-576;springer application/pdf http://swbplus.bsz-bw.de/bsz308462238kap.htm 20090714140322 Kapitel 1 DE-576;springer application/pdf http://swbplus.bsz-bw.de/bsz308462238vor.htm 20090714140113 Vorwort 1 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017701642&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Geometric analysis and PDEs lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11 - 16, 2007 Lecture notes in mathematics Partielle Differentialgleichung - Geometrische Analysis - Kongress - Cetraro <2007> Differential equations, Partial Congresses Geometric analysis Congresses Geometrische Analysis (DE-588)4156708-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4156708-0 (DE-588)4044779-0 (DE-588)1071861417 |
| title | Geometric analysis and PDEs lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11 - 16, 2007 |
| title_auth | Geometric analysis and PDEs lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11 - 16, 2007 |
| title_exact_search | Geometric analysis and PDEs lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11 - 16, 2007 |
| title_full | Geometric analysis and PDEs lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11 - 16, 2007 Matthew J. Gursky ... Ed.: Antonio Ambrosetti ... |
| title_fullStr | Geometric analysis and PDEs lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11 - 16, 2007 Matthew J. Gursky ... Ed.: Antonio Ambrosetti ... |
| title_full_unstemmed | Geometric analysis and PDEs lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11 - 16, 2007 Matthew J. Gursky ... Ed.: Antonio Ambrosetti ... |
| title_short | Geometric analysis and PDEs |
| title_sort | geometric analysis and pdes lectures given at the c i m e summer school held in cetraro italy june 11 16 2007 |
| title_sub | lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11 - 16, 2007 |
| topic | Partielle Differentialgleichung - Geometrische Analysis - Kongress - Cetraro <2007> Differential equations, Partial Congresses Geometric analysis Congresses Geometrische Analysis (DE-588)4156708-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Partielle Differentialgleichung - Geometrische Analysis - Kongress - Cetraro <2007> Differential equations, Partial Congresses Geometric analysis Congresses Geometrische Analysis Partielle Differentialgleichung Konferenzschrift 2007 Cetraro |
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