Nonlinear elliptic boundary value problems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Leipzig
B. G. Teubner Verlagsgesellschaft
1986
|
| Series: | Teubner-Texte zur Mathematik
91 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Russ. übers. |
| Physical Description: | 232 Seiten |
| ISBN: | 3322004155 |
Staff View
MARC
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| 100 | 1 | |a Skrypnik, Igor Vladimirovič |d 1940-2005 |0 (DE-588)1157414885 |4 aut | |
| 245 | 1 | 0 | |a Nonlinear elliptic boundary value problems |c Igor Vladomirovič Skrypnik |
| 264 | 1 | |a Leipzig |b B. G. Teubner Verlagsgesellschaft |c 1986 | |
| 300 | |a 232 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Teubner-Texte zur Mathematik |v 91 | |
| 500 | |a Aus d. Russ. übers. | ||
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Differential equations, Elliptic | |
| 650 | 4 | |a Differential equations, Nonlinear | |
| 650 | 0 | 7 | |a Randwertproblem |0 (DE-588)4048395-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Elliptisches Randwertproblem |0 (DE-588)4193399-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineare elliptische Differentialgleichung |0 (DE-588)4310554-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quasilineare elliptische Differentialgleichung |0 (DE-588)4431553-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineares Randwertproblem |0 (DE-588)4129830-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Nichtlineares Randwertproblem |0 (DE-588)4129830-5 |D s |
| 689 | 0 | 1 | |a Elliptisches Randwertproblem |0 (DE-588)4193399-0 |D s |
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| 689 | 1 | 0 | |a Nichtlineare elliptische Differentialgleichung |0 (DE-588)4310554-3 |D s |
| 689 | 1 | 1 | |a Randwertproblem |0 (DE-588)4048395-2 |D s |
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| 689 | 3 | 0 | |a Elliptisches Randwertproblem |0 (DE-588)4193399-0 |D s |
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| 830 | 0 | |a Teubner-Texte zur Mathematik |v 91 |w (DE-604)BV000012607 |9 91 | |
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Record in the Search Index
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| adam_text |
LIST OF CONTENTS
Preface 5
Chapter 1. THE DEGREE OF GENERALIZED MONOTONE MAPPINGS 10
1.1. Definition of the degree of a manping of
class (a) ' 10
1.2. Definition of the degree for a nonseparable
space 17
1.3. Properties of the degree of generalized monotone
mappings 2 2
1.4. Evaluation of the index of a critical point 29
1.5. Evaluation of the degree of potential mappings 38
1.6. Application of the concept of the degree to ge¬
neral operator equations 42
Chapter 2. TOPOLOGICAL CHARACTERISTICS OF NONLINEAR
ELLIPTIC BOUNDARY VALUE PROBLEMS 52
2.1. Reduction of problems for divergent equations to
operator equations 53
2.2. Introduction of topological characteristics in
the case of general elliptic problems 59
2.3. Coercive a priori estimates for pairs of linear
elliptic operators 75
2.4. Reducing to the operator equation the Dirichlet
problem for a general nonlinear elliptic ope¬
rator 87
Chapter 3. SOLVABILITY AND BEHAVIOR OF SOLUTIONS OF
NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS 91
3.1. Solvability of boundary value problems for
divergent elliptic equations 92
3.2. Solvability of general nonlinear boundary value
problems 97
3.3. Bifurcation of solutions of nonlinear boundary
value problems 104
3.4. Estimates of the number of solutions of
nonlinear elliptic problems 112
3.5. Convergence of Galerkin approximations for
general nonlinear elliptic boundary value
problems 118
Chapter 4. SOLVABILITY OF THE NONLINEAR DIRICHLET PROBLEM
IN A NARROW STRIP 121
4.1. Auxiliary inequalities 123
3
4.2. Coercive estimates in Wj111'*'1 (Sh) for pairs
of linear elliptic operators 134
4.3. Estimates of solutions of the nonlinear Dirich
let problem 143
4.4. Proof of the existence theorem 148
Chapter 5. BEHAVIOR OF SOLUTIONS OF QUASILINEAR ELLIPTIC
EQUATIONS NEAR THE BOUNDARY 155
5.1. Auxiliary assertions 156
5.2. A necessary condition of regularity of a boun¬
dary point 162
5.3. A priori estimates of the auxiliary functions
and their differences 170
5.4. A sufficient condition of regularity of a boun¬
dary point 184
Chapter 6. NONLINEAR ELLIPTIC PROBLEMS IN PERFORATED
DOMAINS 190
6.1. Formulation of assumptions and results 192
6.2. Estimates of solutions and auxiliary functions 195
6.3. Asymptotic expansion of the secuence of solu¬
tions " 203
6.4. Derivation of the limit equation 216
References |
| any_adam_object | 1 |
| author | Skrypnik, Igor Vladimirovič 1940-2005 |
| author_GND | (DE-588)1157414885 |
| author_facet | Skrypnik, Igor Vladimirovič 1940-2005 |
| author_role | aut |
| author_sort | Skrypnik, Igor Vladimirovič 1940-2005 |
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| bvnumber | BV002056045 |
| callnumber-first | Q - Science |
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| ctrlnum | (OCoLC)24010013 (DE-599)BVBBV002056045 |
| dewey-full | 515/.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.35 |
| dewey-search | 515/.35 |
| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002056045 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-07T09:02:05Z |
| institution | BVB |
| isbn | 3322004155 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001344545 |
| oclc_num | 24010013 |
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| physical | 232 Seiten |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | B. G. Teubner Verlagsgesellschaft |
| record_format | marc |
| series | Teubner-Texte zur Mathematik |
| series2 | Teubner-Texte zur Mathematik |
| spelling | Skrypnik, Igor Vladimirovič 1940-2005 (DE-588)1157414885 aut Nonlinear elliptic boundary value problems Igor Vladomirovič Skrypnik Leipzig B. G. Teubner Verlagsgesellschaft 1986 232 Seiten txt rdacontent n rdamedia nc rdacarrier Teubner-Texte zur Mathematik 91 Aus d. Russ. übers. Boundary value problems Differential equations, Elliptic Differential equations, Nonlinear Randwertproblem (DE-588)4048395-2 gnd rswk-swf Elliptisches Randwertproblem (DE-588)4193399-0 gnd rswk-swf Nichtlineare elliptische Differentialgleichung (DE-588)4310554-3 gnd rswk-swf Quasilineare elliptische Differentialgleichung (DE-588)4431553-3 gnd rswk-swf Nichtlineares Randwertproblem (DE-588)4129830-5 gnd rswk-swf Nichtlineares Randwertproblem (DE-588)4129830-5 s Elliptisches Randwertproblem (DE-588)4193399-0 s DE-604 Nichtlineare elliptische Differentialgleichung (DE-588)4310554-3 s Randwertproblem (DE-588)4048395-2 s Quasilineare elliptische Differentialgleichung (DE-588)4431553-3 s Teubner-Texte zur Mathematik 91 (DE-604)BV000012607 91 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001344545&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Skrypnik, Igor Vladimirovič 1940-2005 Nonlinear elliptic boundary value problems Teubner-Texte zur Mathematik Boundary value problems Differential equations, Elliptic Differential equations, Nonlinear Randwertproblem (DE-588)4048395-2 gnd Elliptisches Randwertproblem (DE-588)4193399-0 gnd Nichtlineare elliptische Differentialgleichung (DE-588)4310554-3 gnd Quasilineare elliptische Differentialgleichung (DE-588)4431553-3 gnd Nichtlineares Randwertproblem (DE-588)4129830-5 gnd |
| subject_GND | (DE-588)4048395-2 (DE-588)4193399-0 (DE-588)4310554-3 (DE-588)4431553-3 (DE-588)4129830-5 |
| title | Nonlinear elliptic boundary value problems |
| title_auth | Nonlinear elliptic boundary value problems |
| title_exact_search | Nonlinear elliptic boundary value problems |
| title_full | Nonlinear elliptic boundary value problems Igor Vladomirovič Skrypnik |
| title_fullStr | Nonlinear elliptic boundary value problems Igor Vladomirovič Skrypnik |
| title_full_unstemmed | Nonlinear elliptic boundary value problems Igor Vladomirovič Skrypnik |
| title_short | Nonlinear elliptic boundary value problems |
| title_sort | nonlinear elliptic boundary value problems |
| topic | Boundary value problems Differential equations, Elliptic Differential equations, Nonlinear Randwertproblem (DE-588)4048395-2 gnd Elliptisches Randwertproblem (DE-588)4193399-0 gnd Nichtlineare elliptische Differentialgleichung (DE-588)4310554-3 gnd Quasilineare elliptische Differentialgleichung (DE-588)4431553-3 gnd Nichtlineares Randwertproblem (DE-588)4129830-5 gnd |
| topic_facet | Boundary value problems Differential equations, Elliptic Differential equations, Nonlinear Randwertproblem Elliptisches Randwertproblem Nichtlineare elliptische Differentialgleichung Quasilineare elliptische Differentialgleichung Nichtlineares Randwertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001344545&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000012607 |
| work_keys_str_mv | AT skrypnikigorvladimirovic nonlinearellipticboundaryvalueproblems |