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Second Order Elliptic Equations and Elliptic Systems
Softcover ISBN:  9780821819241 
Product Code:  MMONO/174.S 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
eBook ISBN:  9781470445898 
Product Code:  MMONO/174.E 
List Price:  $155.00 
MAA Member Price:  $139.50 
AMS Member Price:  $124.00 
Softcover ISBN:  9780821819241 
eBook: ISBN:  9781470445898 
Product Code:  MMONO/174.S.B 
List Price:  $320.00 $242.50 
MAA Member Price:  $288.00 $218.25 
AMS Member Price:  $256.00 $194.00 
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Second Order Elliptic Equations and Elliptic Systems
Softcover ISBN:  9780821819241 
Product Code:  MMONO/174.S 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
eBook ISBN:  9781470445898 
Product Code:  MMONO/174.E 
List Price:  $155.00 
MAA Member Price:  $139.50 
AMS Member Price:  $124.00 
Softcover ISBN:  9780821819241 
eBook ISBN:  9781470445898 
Product Code:  MMONO/174.S.B 
List Price:  $320.00 $242.50 
MAA Member Price:  $288.00 $218.25 
AMS Member Price:  $256.00 $194.00 

Book DetailsTranslations of Mathematical MonographsVolume: 174; 1998; 246 ppMSC: Primary 35

Table of Contents

Second Order Elliptic Equations

$L^2$ theory

Schauder theory

$L^p$ theory

De GiorgiNashMoser estimates

Quasilinear equations of divergence form

KrylovSafonov estimates

Fully nonlinear elliptic equations

Second Order Elliptic Systems

$L^2$ theory for linear elliptic systems of divergence form

Schauder theory for linear elliptic systems of divergence form

$L^p$ theory for linear elliptic systems of divergence form

Existence of weak solutions of nonlinear elliptic systems

Regularity for weak solutions of nonlinear elliptic systems

Sobolev spaces

Sard’s theorem

Proof of the JohnNirenberg theorem

Proof of the Stampacchia interpolation theorem

Proof of the reverse Hölder inequality


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Second Order Elliptic Equations

$L^2$ theory

Schauder theory

$L^p$ theory

De GiorgiNashMoser estimates

Quasilinear equations of divergence form

KrylovSafonov estimates

Fully nonlinear elliptic equations

Second Order Elliptic Systems

$L^2$ theory for linear elliptic systems of divergence form

Schauder theory for linear elliptic systems of divergence form

$L^p$ theory for linear elliptic systems of divergence form

Existence of weak solutions of nonlinear elliptic systems

Regularity for weak solutions of nonlinear elliptic systems

Sobolev spaces

Sard’s theorem

Proof of the JohnNirenberg theorem

Proof of the Stampacchia interpolation theorem

Proof of the reverse Hölder inequality
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