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Elliptic partial differential equation
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==References== {{refbegin}} * {{cite book|mr=0140802|title=Methods of mathematical physics. Volume II: Partial differential equations|last1=Courant|first1=R.|last2=Hilbert|first2=D.|author-link1=Richard Courant|author-link2=David Hilbert|publisher=[[Interscience Publishers]]|location=New York–London|year=1962|title-link=Methoden der mathematischen Physik}} * {{cite journal|mr=1118699|title=User's guide to viscosity solutions of second order partial differential equations|last1=Crandall|first1=Michael G.|last2=Ishii|first2=Hitoshi|last3=Lions|first3=Pierre-Louis|journal=[[Bulletin of the American Mathematical Society]]|series=New Series|volume=27|year=1992|issue=1|pages=1–67|doi=10.1090/S0273-0979-1992-00266-5|doi-access=free|author-link1=Michael G. Crandall|author-link2=Hitoshi Ishii|author-link3=Pierre-Louis Lions|arxiv=math/9207212}} * {{cite book |first1 = Lawrence C.|last1=Evans |author-link1=Lawrence C. Evans|year= 2010 |title= Partial differential equations|url= https://math24.wordpress.com/wp-content/uploads/2013/02/partial-differential-equations-by-evans.pdf|publisher= [[American Mathematical Society]]|location=Providence, RI|isbn = 978-0-8218-4974-3|series=[[Graduate Studies in Mathematics]]|volume=19|edition=Second edition of 1998 original|mr=2597943|doi=10.1090/gsm/019}} * {{cite book|mr=0717034|title=Multiple integrals in the calculus of variations and nonlinear elliptic systems|last1=Giaquinta|first1=Mariano|author-link1=Mariano Giaquinta|series=Annals of Mathematics Studies|volume=105|publisher=[[Princeton University Press]]|location=Princeton, NJ|year=1983|isbn=0-691-08330-4}} * {{cite book|mr=1814364|last1=Gilbarg|first1=David|last2=Trudinger|first2=Neil S.|title=Elliptic partial differential equations of second order|edition=Revised second edition of the 1977 original|series=Classics in Mathematics|publisher=[[Springer-Verlag]]|location=Berlin|year=2001|isbn=3-540-41160-7|zbl=1042.35002|doi=10.1007/978-3-642-61798-0|author-link1=David Gilbarg|author-link2=Neil Trudinger}} * {{cite book|mr=1065993|title=The analysis of linear partial differential operators. I. Distribution theory and Fourier analysis|last1=Hörmander|first1=Lars|author-link1=Lars Hörmander|series=Grundlehren der mathematischen Wissenschaften|volume=256|publisher=[[Springer-Verlag]]|year=1990|isbn=3-540-52345-6|edition=Second edition of 1985 original|doi=10.1007/978-3-642-61497-2}} * {{cite book|mr=0831655|title=Partial differential equations|last1=John|first1=Fritz|author-link1=Fritz John|series=Applied Mathematical Sciences|volume=1|publisher=[[Springer-Verlag]]|location=New York|year=1982|isbn=0-387-90609-6|edition=Fourth edition of 1971 original|doi=10.1007/978-1-4684-0059-5}} * {{cite book|mr=0793735|title=The boundary value problems of mathematical physics|last1=Ladyzhenskaya|first1=O. A.|author-link1=Olga Ladyzhenskaya|series=Applied Mathematical Sciences|volume=49|publisher=[[Springer-Verlag]]|location=New York|year=1985|isbn=0-387-90989-3|doi=10.1007/978-1-4757-4317-3}} * {{cite book|mr=0202511|title=Multiple integrals in the calculus of variations|last1=Morrey|first1=Charles B., Jr.|series=Die Grundlehren der mathematischen Wissenschaften|volume=130|publisher=[[Springer-Verlag]]|location=New York|year=1966|author-link1=Charles B. Morrey Jr.|doi=10.1007/978-3-540-69952-1|isbn=978-3-540-69915-6 }} * {{cite book|mr=2028503|title=An introduction to partial differential equations|last1=Renardy|first1=Michael|last2=Rogers|first2=Robert C.|series=Texts in Applied Mathematics|volume=13|publisher=[[Springer-Verlag]]|location=New York|year=2004|isbn=0-387-00444-0|edition=Second edition of 1993 original|doi=10.1007/b97427}} * {{cite book|mr=0532834|last1=Spivak|first1=Michael|title=A comprehensive introduction to differential geometry. Volume V|edition=Second edition of 1975 original|publisher=Publish or Perish, Inc.|location=Wilmington, DE|year=1979|isbn=0-914098-83-7|author-link1=Michael Spivak}} * {{cite book | last=Zauderer | first=Erich | title=Partial Differential Equations of Applied Mathematics | publisher=Wiley-Interscience | publication-place=Hoboken (N.J.) | date=2006 | isbn=978-0-471-69073-3}} {{refend}}
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