Regularity of solutions of quasilinear elliptic systems:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Leipzig
Teubner
1985
|
| Edition: | 1. Aufl. |
| Series: | Teubner-Texte zur Mathematik.
77. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 208 S. |
| ISSN: | 0138-502X |
Staff View
MARC
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| 100 | 1 | |a Košelev, Aleksandr I. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Regularity of solutions of quasilinear elliptic systems |c Aleksandr I. Košelev ; Sergej I. Čelkak |
| 250 | |a 1. Aufl. | ||
| 264 | 1 | |a Leipzig |b Teubner |c 1985 | |
| 300 | |a 208 S. | ||
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| 490 | 1 | |a Teubner-Texte zur Mathematik. |v 77. |x 0138-502X | |
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Record in the Search Index
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| adam_text | COIIIIIS
UTRODUCTIOH 6
CHAPTER 1. SOUK FUHCTIOHAL SPACES AHD PRELUCBARY RESULTS 12
1.1. H«. »I»OO8 12
1.2. Same auxiliary Inequalities 24
1.3. Deviation of matrices and the dispersion of
eigenvalues 32
CHAPTER 2 WBAK SOLUTIOH8 OF QUASILIHEAR ELLIPTIC SYSTEMS 50
2.1. The universal iteration process for nondege
nerate systems with bounded nonlinearitiea 30
2.2. Degenerating systems with bounded nonllnea
rities 61
2.3. Regularization of the universal iteration
process 67
CHAPTER 3. RBGttLAKITY OP SOLUTIONS OP THS FIRST BOUNDARY
VALUB PROBLEM TOR QUA3ILI5KAR SBCOHD ORDER
BlilPTIC SYSTEMS 75
3.1. Soae estimates for ordinary differential
operators 75
3.2. Probe functions and basic inequalities 83
3.3. The Holder condition for solutions of non
degenerate systems with bounded nonlinearities 92
3.4. Differentiability of the solution for second
order elliptic systems 99
CHAPTER 4. REGULARITY OP SOLUTIONS POR ELLIPTIC
SYSTEMS 0? THE ORDER $,£ 119
4.1. The Holder condition for derivatives of
the order £ i 119
4.2. Boundednees of iterations in Vr. 129
4.3. The Holder condition for derivatives
of the order t 136
CHAPTER 5. FOURTH ORDER QUASILBTEAR BLLIPTIC SYSTEMS 144
5.1. Principal results and inequalities for
successive approximations 144
4
5.2. The probe function and the auxiliary
function 2(x) 148
5.3. Some estimates for the auxiliary
function Z(#) 162
5.4. Convergency of the universal iteration
process in C a* 1 C * • The Holder condition
for the solution and Its derlTatives 184
5.5. The Holder condition for the first derivatives
of solutions for second order systems 186
CHAPTER 6. THB SHARPHKSS OP THE BSQULAHITY (XHfDITICWS
POR SOLUTIONS OP SECCBTD AFD PODRTH ORDER
. SYSTEIC 190
6.1. Second order syetems and the sharpness of
the Holder condition for their solutions 190
6.2. The sharpness of the Holder condition for
the gradient of solutions for fourth order
systems 192
6.3. The sharpness of the Holder condition for
solutions of fourth order systems 199
REPKREHCKS 201
5
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| any_adam_object | 1 |
| author | Košelev, Aleksandr I. Čelkak, Sergej I. |
| author_facet | Košelev, Aleksandr I. Čelkak, Sergej I. |
| author_role | aut aut |
| author_sort | Košelev, Aleksandr I. |
| author_variant | a i k ai aik s i č si sič |
| building | Verbundindex |
| bvnumber | BV002249290 |
| classification_rvk | SK 560 SK 750 |
| classification_tum | MAT 355f |
| ctrlnum | (OCoLC)246866061 (DE-599)BVBBV002249290 |
| discipline | Mathematik |
| edition | 1. Aufl. |
| format | Book |
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| id | DE-604.BV002249290 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:45Z |
| institution | BVB |
| issn | 0138-502X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001478015 |
| oclc_num | 246866061 |
| open_access_boolean | |
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| owner_facet | DE-91G DE-BY-TUM DE-703 DE-824 DE-384 DE-355 DE-BY-UBR DE-634 DE-83 DE-11 DE-188 |
| physical | 208 S. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Teubner |
| record_format | marc |
| series | Teubner-Texte zur Mathematik. |
| series2 | Teubner-Texte zur Mathematik. |
| spelling | Košelev, Aleksandr I. Verfasser aut Regularity of solutions of quasilinear elliptic systems Aleksandr I. Košelev ; Sergej I. Čelkak 1. Aufl. Leipzig Teubner 1985 208 S. txt rdacontent n rdamedia nc rdacarrier Teubner-Texte zur Mathematik. 77. 0138-502X Quasilineare elliptische Differentialgleichung (DE-588)4431553-3 gnd rswk-swf Elliptische Differentialgleichung (DE-588)4014485-9 gnd rswk-swf Regularität (DE-588)4049074-9 gnd rswk-swf Iteration (DE-588)4123457-1 gnd rswk-swf Lösung Chemie (DE-588)4036159-7 gnd rswk-swf Quasilineare elliptische Differentialgleichung (DE-588)4431553-3 s Lösung Chemie (DE-588)4036159-7 s Regularität (DE-588)4049074-9 s DE-604 Elliptische Differentialgleichung (DE-588)4014485-9 s Iteration (DE-588)4123457-1 s Čelkak, Sergej I. Verfasser aut Teubner-Texte zur Mathematik. 77. (DE-604)BV000012607 77. HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001478015&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Košelev, Aleksandr I. Čelkak, Sergej I. Regularity of solutions of quasilinear elliptic systems Teubner-Texte zur Mathematik. Quasilineare elliptische Differentialgleichung (DE-588)4431553-3 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Regularität (DE-588)4049074-9 gnd Iteration (DE-588)4123457-1 gnd Lösung Chemie (DE-588)4036159-7 gnd |
| subject_GND | (DE-588)4431553-3 (DE-588)4014485-9 (DE-588)4049074-9 (DE-588)4123457-1 (DE-588)4036159-7 |
| title | Regularity of solutions of quasilinear elliptic systems |
| title_auth | Regularity of solutions of quasilinear elliptic systems |
| title_exact_search | Regularity of solutions of quasilinear elliptic systems |
| title_full | Regularity of solutions of quasilinear elliptic systems Aleksandr I. Košelev ; Sergej I. Čelkak |
| title_fullStr | Regularity of solutions of quasilinear elliptic systems Aleksandr I. Košelev ; Sergej I. Čelkak |
| title_full_unstemmed | Regularity of solutions of quasilinear elliptic systems Aleksandr I. Košelev ; Sergej I. Čelkak |
| title_short | Regularity of solutions of quasilinear elliptic systems |
| title_sort | regularity of solutions of quasilinear elliptic systems |
| topic | Quasilineare elliptische Differentialgleichung (DE-588)4431553-3 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Regularität (DE-588)4049074-9 gnd Iteration (DE-588)4123457-1 gnd Lösung Chemie (DE-588)4036159-7 gnd |
| topic_facet | Quasilineare elliptische Differentialgleichung Elliptische Differentialgleichung Regularität Iteration Lösung Chemie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001478015&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000012607 |
| work_keys_str_mv | AT koselevaleksandri regularityofsolutionsofquasilinearellipticsystems AT celkaksergeji regularityofsolutionsofquasilinearellipticsystems |