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)
Resource Information
The item Potential theory and harmonic analysis methods for quasilinear and Hessian equations, by Phuc Cong Nguyen, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.This item is available to borrow from all library branches.
Resource Information
The item Potential theory and harmonic analysis methods for quasilinear and Hessian equations, by Phuc Cong Nguyen, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.
This item is available to borrow from all library branches.
 Summary
 The existence problem is solved, and global pointwise estimates of solutions are obtained for quasilinear and Hessian equations of LaneEmden 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 pLaplacian defined by [delta]pu = div ([delta]u [delta]u p2), and Fk[u] is the kHessian 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(qp+1)) / pq for the first equation, and s = (n(qk) qk) / 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
 Language
 eng
 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 nontechnical 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
 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
 Language
 eng
 Summary
 The existence problem is solved, and global pointwise estimates of solutions are obtained for quasilinear and Hessian equations of LaneEmden 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 pLaplacian defined by [delta]pu = div ([delta]u [delta]u p2), and Fk[u] is the kHessian 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(qp+1)) / pq for the first equation, and s = (n(qk) qk) / 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 MissouriColumbia
 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)
 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 nontechnical 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)
 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 nontechnical 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.umsl.edu/portal/Potentialtheoryandharmonicanalysismethods/5NGZrhqCOik/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.umsl.edu/portal/Potentialtheoryandharmonicanalysismethods/5NGZrhqCOik/">Potential theory and harmonic analysis methods for quasilinear and Hessian equations, by Phuc Cong Nguyen, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.umsl.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.umsl.edu/">University of MissouriSt. Louis Libraries</a></span></span></span></span></div>