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保存至书单:
Compactness and stability for nonlinear elliptic equations / |
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ISBN/ISSN:
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9783037191347 (pbk. : acid-free paper) |
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ISBN/ISSN:
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3037191341 (pbk. : acid-free paper) |
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中图分类法
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O175.25 |
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著者:
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Hebey, Emmanuel, |
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题名:
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Compactness and stability for nonlinear elliptic equations / |
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出版发行:
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Zürich, Switzerland : European Mathematical Society, c2014. |
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载体形态:
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x, 291 pages ; ; 24 cm. |
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附注:
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University lectures. |
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内容提要:
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The book offers an expanded version of lectures given at ETH Zürich in the framework of a Nachdiplomvorlesung. Compactness and stability for nonlinear elliptic equations in the inhomogeneous context of closed Riemannian manifolds are investigated, a field presently undergoing great development. The author describes blow-up phenomena and presents the progress made over the past years on the subject, giving an up-to-date description of the new ideas, concepts, methods, and theories in the field. Special attention is devoted to the nonlinear stationary Schr?dinger equation and to its critical formulation. Intended to be as self-contained as possible, the book is accessible to a broad audience of readers, including graduate students and researchers. |
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主题词:
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Differential equations, Elliptic. |
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主题词:
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Manifolds (Mathematics) |
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主题词:
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Differential equations, Nonlinear. |
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HEA| |02216nam a2200349 i 4500 001| |022018000236 003| |CAL 005| |20190320161608.9 008| |180313s2014 sz b 000 0 eng d 020| |▼a9783037191347 (pbk. : acid-free paper) 020| |▼a3037191341 (pbk. : acid-free paper) 040| |▼aOHX▼beng▼erda▼cOHX▼dOCLCO▼dY- | |DXCP▼dOCLCO▼dIPL▼dBTCTA▼dMUU 050| 4|▼aQA377▼b.H436 082|04|▼a515.3533▼223 093| |▼aO175.25▼25 099| |▼aCAL 022015002564 100|1 |▼aHebey, Emmanuel,▼d1964- 245|10|▼aCompactness and stability fo- | |r nonlinear elliptic equations- | | /▼cEmmanuel Hebey. 260| |▼aZürich, Switzerland :▼bEurop- | |ean Mathematical Society,▼cc2014. 300| |▼ax, 291 pages ;▼c24 cm. 336| |▼atext▼btxt▼2rdacontent 337| |▼aunmediated▼bn▼2rdamedia 338| |▼avolume▼bnc▼2rdacarrier 490|0 |▼aZurich lectures in advanced - | |mathematics 500| |▼aUniversity lectures. 504| |▼aIncludes bibliographical ref- | |erences (pages [285]-291). 505|0 |▼a1. Some model equations －－ 2- | |. Basic variational methods －－- | | 3. The L [superscript] p and - | |H?-theories for blow-up －－ 4. - | |Blowing-up solutions in the cr- | |itical case －－ 5. An introduct- | |ion to elliptic stability －－ 6- | |. Bounded stability －－ 7. The - | |C?-theory for blow-up －－ 8. An- | |alytic stability. 520|3 |▼aThe book offers an expanded - | |version of lectures given at E- | |TH Zürich in the framework of - | |a Nachdiplomvorlesung. Compact- | |ness and stability for nonline- | |ar elliptic equations in the i- | |nhomogeneous context of closed- | | Riemannian manifolds are inve- | |stigated, a field presently un- | |dergoing great development. Th- | |e author describes blow-up phe- | |nomena and presents the progre- | |ss made over the past years on- | | the subject, giving an up-to－－ | |date description of the new id- | |eas, concepts, methods, and th- | |eories in the field. Special a- | |ttention is devoted to the non- | |linear stationary Schr?dinger - | |equation and to its critical f- | |ormulation. Intended to be as - | |self-contained as possible, th- | |e book is accessible to a broa- | |d audience of readers, includi- | |ng graduate students and researchers. 650| 0|▼aDifferential equations, Elliptic. 650| 0|▼aManifolds (Mathematics) 650| 0|▼aDifferential equations, Nonlinear. 998| |▼aBNU
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