Nonlinear elliptic boundary value problems and their applications:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Harlow
Longman
1996
|
| Series: | Pitman monographs and surveys in pure and applied mathematics
80 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 269 S. |
| ISBN: | 0582292042 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
I Boundary Value Problems for Nonlinear Elliptic Equations
and Systems with Weak Conditions 1
1. Some boundary value problems for elliptic complex equations with
non-smooth boundaries 1
2. Compound boundary value problem for some nonlinear elliptic
complex equations of first order 10
3. Discontinuous Riemann-Hilbert problem for nonlinear elliptic
complex equations of first order 19
4. Mixed boundary value problem for elliptic equations of second order 27
II Nonlinear Boundary Value Problems for Elliptic Complex
Equations and Systems 39
1. Nonlinear boundary value problems for quasilinear elliptic complex
equations of first order 39
2. Nonlinear Riemann-Hilbert problem for nonlinear elliptic complex
equations in a multiply connected domain 48
3. Nonlinear discontinuous boundary value problem for nonlinear elliptic
complex equations of first order 54
4. Nonlinear irregular oblique derivative problems for nonlinear elliptic
equations of second order 61
III Boundary Value Problems for Degenerate Elliptic Equations
and Systems 73
1. Riemann-Hilbert problem for degenerate elliptic complex equations of
first order 73
2. Mixed boundary value problem for a class of nonlinear degenerate
elliptic equations of second order 79
3. Oblique derivative problem for a class of nonlinear degenerate elliptic
equations of second order 88
4. Boundary value problems for another class of nonlinear degenerate
elliptic equations of second order 96
Heinrich Begehr and Guo Chun Wen
IV Boundary Value Problems for Several Complex Variables 105
1. Riemann boundary value problem for several complex variables 105
2. Riemann-Hilbert problem for analytic functions in a polycylinder 111
3. Riemann-Hilbert problem for elliptic systems of complex equations
in a polycylinder 122
4. Some boundary value problems in the ball 128
5. Dirichlet boundary value problem for overdetermined systems of
second order complex equations 133
V Boundary Value Problems of Functions in Clifford Analysis 141
1. Integral of Cauchy type and Plemelj formula in Clifford analysis 141
2. Riemann problem for regular functions in Clifford analysis 147
3. Schwarz formulae for halfspace and ball 153
4. Riemann-Hilbert problem for generalized regular functions in Clifford
analysis 161
5. Oblique derivative problems for generalized regular functions in
Clifford analysis 170
VI Boundary Value Problems for Elliptic Equations and
Systems of Higher Order 177
1. Reduction of elliptic equations and systems of fourth order 177
2. Existence theorem and boundary value problems for elliptic
equations of fourth order 184
3. Existence theorem and boundary value problems for elliptic
systems of fourth order equations 195
4. Nonlinear elliptic equations and systems of 2nth order 200
VII Applications of Elliptic Boundary Value Problems in
Continuum Mechanics 207
1. Free boundary problems in planar and axisymmetric filtration 207
2. Some free boundary problems in gas dynamics 221
3. Free boundary problems in elastico-plastic mechanics 227
4. A mixed-contact boundary value problem for orthotropic elasticity 236
• References 245
• Index 263
|
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| id | DE-604.BV024974361 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:24:52Z |
| institution | BVB |
| isbn | 0582292042 |
| language | English |
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| owner_facet | DE-11 DE-188 |
| physical | 269 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Longman |
| record_format | marc |
| series | Pitman monographs and surveys in pure and applied mathematics |
| series2 | Pitman monographs and surveys in pure and applied mathematics |
| spelling | Begehr, Heinrich G. W. Verfasser aut Nonlinear elliptic boundary value problems and their applications Heinrich G. W. Begehr and Guo Chun Wen Harlow Longman 1996 269 S. txt rdacontent n rdamedia nc rdacarrier Pitman monographs and surveys in pure and applied mathematics 80 Nichtlineare elliptische Differentialgleichung (DE-588)4310554-3 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Nichtlineare elliptische Differentialgleichung (DE-588)4310554-3 s Randwertproblem (DE-588)4048395-2 s DE-188 Wen, Guo-Chun Verfasser aut Pitman monographs and surveys in pure and applied mathematics 80 (DE-604)BV000022446 80 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019641918&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Begehr, Heinrich G. W. Wen, Guo-Chun Nonlinear elliptic boundary value problems and their applications Pitman monographs and surveys in pure and applied mathematics Nichtlineare elliptische Differentialgleichung (DE-588)4310554-3 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4310554-3 (DE-588)4048395-2 |
| title | Nonlinear elliptic boundary value problems and their applications |
| title_auth | Nonlinear elliptic boundary value problems and their applications |
| title_exact_search | Nonlinear elliptic boundary value problems and their applications |
| title_full | Nonlinear elliptic boundary value problems and their applications Heinrich G. W. Begehr and Guo Chun Wen |
| title_fullStr | Nonlinear elliptic boundary value problems and their applications Heinrich G. W. Begehr and Guo Chun Wen |
| title_full_unstemmed | Nonlinear elliptic boundary value problems and their applications Heinrich G. W. Begehr and Guo Chun Wen |
| title_short | Nonlinear elliptic boundary value problems and their applications |
| title_sort | nonlinear elliptic boundary value problems and their applications |
| topic | Nichtlineare elliptische Differentialgleichung (DE-588)4310554-3 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | Nichtlineare elliptische Differentialgleichung Randwertproblem |
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