A spectral theoretic approach to a class of semilinear eigenvalue problems:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Giessen
Selbstverl. des Math. Inst.
2005
|
| Schriftenreihe: | Mitteilungen aus dem Mathematischen Seminar Giessen
258 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014814542&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Vollst. zugl.: Mainz, Univ., Diss., 2001 u.d.T.: Weth, Tobias: Spectral and variational characterizations of solutions to semilinear eigenvalue problems |
| Umfang: | 68 S. graph. Darst. |
Internformat
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| 490 | 1 | |a Mitteilungen aus dem Mathematischen Seminar Giessen |v 258 | |
| 500 | |a Vollst. zugl.: Mainz, Univ., Diss., 2001 u.d.T.: Weth, Tobias: Spectral and variational characterizations of solutions to semilinear eigenvalue problems | ||
| 650 | 4 | |a Eigenvalues | |
| 650 | 4 | |a Nonlinear boundary value problems | |
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Datensatz im Suchindex
| _version_ | 1819269956193222656 |
|---|---|
| adam_text | Titel: A spectral theoretic approach to a class of semilinear eigenvalue problems
Autor: Weth, Tobias
Jahr: 2005
A spectral theoretic approach to semilinear eigenvalue problems
Contents
1. Introduction 3
1.1. General definitions and notation 7
2. Topological properties of families of subspaces 8
2.1. The Grassmannian manifold and relatively compact subsets 8
2.2. The Krasnoselski genus of fixed point sets 11
3. Uniform perturbation theory for self adjoint operators 17
3.1. Families of form compact perturbations 18
3.2. Remarks on the bounded case 23
4. A spectral characterization problem 24
5. Abstract sublinear equations 27
5.1. Spectrally characterized solutions with prescribed norm 29
5.2. Spectrally characterized solutions with prescribed eigenvalue 31
6. Abstract superlinear equations 35
6.1. Spectrally characterized solutions with prescribed norm 36
6.2. Spectrally characterized solutions with prescribed eigenvalue 40
7. Periodic solutions of a nonlinear Hill s equation 52
7.1. The sublinear case 54
7.2. The superlinear case 56
8. Remarks on nonlinear Sturm-Liouville problems and characteristic
numbers 63
References 66
List of symbols 68
Abstract conditions and properties 68
|
| any_adam_object | 1 |
| author | Weth, Tobias 1974- |
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| discipline | Mathematik |
| format | Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV021599180 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T12:37:23Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014814542 |
| oclc_num | 69243589 |
| open_access_boolean | |
| owner | DE-384 DE-703 |
| owner_facet | DE-384 DE-703 |
| physical | 68 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Selbstverl. des Math. Inst. |
| record_format | marc |
| series | Mitteilungen aus dem Mathematischen Seminar Giessen |
| series2 | Mitteilungen aus dem Mathematischen Seminar Giessen |
| spellingShingle | Weth, Tobias 1974- A spectral theoretic approach to a class of semilinear eigenvalue problems Mitteilungen aus dem Mathematischen Seminar Giessen Eigenvalues Nonlinear boundary value problems Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd Semilineares Eigenwertproblem (DE-588)7529854-5 gnd |
| subject_GND | (DE-588)4116561-5 (DE-588)7529854-5 (DE-588)4113937-9 |
| title | A spectral theoretic approach to a class of semilinear eigenvalue problems |
| title_auth | A spectral theoretic approach to a class of semilinear eigenvalue problems |
| title_exact_search | A spectral theoretic approach to a class of semilinear eigenvalue problems |
| title_full | A spectral theoretic approach to a class of semilinear eigenvalue problems Tobias Weth |
| title_fullStr | A spectral theoretic approach to a class of semilinear eigenvalue problems Tobias Weth |
| title_full_unstemmed | A spectral theoretic approach to a class of semilinear eigenvalue problems Tobias Weth |
| title_short | A spectral theoretic approach to a class of semilinear eigenvalue problems |
| title_sort | a spectral theoretic approach to a class of semilinear eigenvalue problems |
| topic | Eigenvalues Nonlinear boundary value problems Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd Semilineares Eigenwertproblem (DE-588)7529854-5 gnd |
| topic_facet | Eigenvalues Nonlinear boundary value problems Spectral theory (Mathematics) Spektraltheorie Semilineares Eigenwertproblem Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014814542&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV011500117 |
| work_keys_str_mv | AT wethtobias aspectraltheoreticapproachtoaclassofsemilineareigenvalueproblems |