The Resource Potential theory and harmonic analysis methods for quasilinear and Hessian equations, by Phuc Cong Nguyen, (electronic resource)

Potential theory and harmonic analysis methods for quasilinear and Hessian equations, by Phuc Cong Nguyen, (electronic resource)

Label
Potential theory and harmonic analysis methods for quasilinear and Hessian equations
Title
Potential theory and harmonic analysis methods for quasilinear and Hessian equations
Statement of responsibility
by Phuc Cong Nguyen
Creator
Contributor
Thesis advisor
Subject
Genre
Language
eng
Summary
The existence problem is solved, and global pointwise estimates of solutions are obtained for quasilinear and Hessian equations of Lane-Emden type, including the following two model problems:-[delta]pu = uq + [mu], Fk[-u] = uq + [mu], u [greater than or equal to] 0, on Rn, or on a bounded domain [omega] [subset of or implied by] Rn. Here [delta]p is the p-Laplacian defined by [delta]pu = div ([delta]u [delta]u p-2), and Fk[u] is the k-Hessian defined as the sum of k x k principal minors of the Hessian matrix D2u (k = 1, 2, . . . , n); [mu] is a nonnegative measurable function (or measure) on [omega]. The solvability of these classes of equations in the renormalized (entropy) or viscosity sense has been an open problem even for good data [mu] [such that element of] Ls([omega]), s [greater than] 1. Such results are deduced from our existence criteria with the sharp exponents s = (n(q-p+1)) / pq for the first equation, and s = (n(q-k) q-k) / 2kq for the second one. Furthermore, a complete characterization of removable singularities for each corresponding homogeneous equation is given as a consequence of our solvability results
Cataloging source
MUU
http://library.link/vocab/creatorDate
1976-
http://library.link/vocab/creatorName
Nguyen, Phuc Cong
Degree
Ph.D.
Dissertation year
2006.
Granting institution
University of Missouri-Columbia
Index
no index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
  • theses
http://library.link/vocab/relatedWorkOrContributorName
Verbitsky, Igor
http://library.link/vocab/subjectName
  • Harmonic analysis
  • Differential equations, Nonlinear
Target audience
specialized
Label
Potential theory and harmonic analysis methods for quasilinear and Hessian equations, by Phuc Cong Nguyen, (electronic resource)
Instantiates
Publication
Note
  • The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file
  • Title from title screen of research.pdf file viewed on (February 28, 2007)
  • Vita
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
85448799
Dimensions
unknown
Form of item
electronic
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
System control number
(OCoLC)85448799
System details
Mode of access: World Wide Web
Label
Potential theory and harmonic analysis methods for quasilinear and Hessian equations, by Phuc Cong Nguyen, (electronic resource)
Publication
Note
  • The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file
  • Title from title screen of research.pdf file viewed on (February 28, 2007)
  • Vita
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
85448799
Dimensions
unknown
Form of item
electronic
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
System control number
(OCoLC)85448799
System details
Mode of access: World Wide Web

Library Locations

  • St. Louis Mercantile LibraryBorrow it
    1 University Blvd, St. Louis, MO, 63121, US
    38.710138 -90.311107
  • Thomas Jefferson LibraryBorrow it
    1 University Blvd, St. Louis, MO, 63121, US
    38.710138 -90.311107
  • University ArchivesBorrow it
    703 Lewis Hall, Columbia, MO, 65211, US
  • University of Missouri-St. Louis Libraries DepositoryBorrow it
    2908 Lemone Blvd, Columbia, MO, 65201, US
    38.919360 -92.291620
  • University of Missouri-St. Louis Libraries DepositoryBorrow it
    2908 Lemone Blvd, Columbia, MO, 65201, US
    38.919360 -92.291620
  • Ward E Barnes Education LibraryBorrow it
    8001 Natural Bridge Rd, St. Louis, MO, 63121, US
    38.707079 -90.311355
Processing Feedback ...