The Resource Positive solutions of nonlinear elliptic equations in the Euclidean plane, by Ünal Ufuktepe

Positive solutions of nonlinear elliptic equations in the Euclidean plane, by Ünal Ufuktepe

Label
Positive solutions of nonlinear elliptic equations in the Euclidean plane
Title
Positive solutions of nonlinear elliptic equations in the Euclidean plane
Statement of responsibility
by Ünal Ufuktepe
Title variation
Solutions on nonlinear elliptic equations
Creator
Subject
Language
eng
Summary
In the present thesis, we study the existence of solutions to the problem $\Delta u+f(x,u)=0$ in D $u>0$ in D $u=0$ on $\partial D$ (0.1) where D is an unbounded domain in $\IR\sp2$ with a compact non-empty boundary $\partial D$ consisting of finitely many Jordan curves. The goal is to prove an existence theorem for problem (0.1) in a general setting by using Brownian path integration and potential theory. In the first chapter, we provide the necessary background for the following chapters. The second chapter is devoted to the Feynman-Kac functional, Schrodinger equations, and the conditional Brownian motion. In the third chapter, we first introduce the positive harmonic function in D with the specified behavior around $\partial D$ and $\{\infty\}.$ We prove the uniform integrability of the family of functions $\{G\sb{D}(x,.)\vert q(.):x\in D\}$ for a function q belonging to a general class $K\sbsp{2}{\infty},$ where $G\sb{D}(.,.)$ is the Green function in D. Finally we prove the main theorem which solves problem (0.1) under certain conditions on f
Additional physical form
Also available on the Internet.
Cataloging source
MUU
http://library.link/vocab/creatorDate
1960-
http://library.link/vocab/creatorName
Ufuktepe, Ünal
Degree
Ph. D.
Dissertation year
1996.
Government publication
government publication of a state province territory dependency etc
Granting institution
University of Missouri-Columbia
Index
no index present
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Nonlinear theories
  • Markov processes
  • Brownian motion processes
  • Schrödinger equation
Target audience
specialized
Label
Positive solutions of nonlinear elliptic equations in the Euclidean plane, by Ünal Ufuktepe
Instantiates
Publication
Note
  • Typescript
  • Vita
Bibliography note
Includes bibliographical references (leaves 39-40)
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
39302187
Dimensions
29 cm
Dimensions
unknown
Extent
iii, 41 leaves
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
Label
Positive solutions of nonlinear elliptic equations in the Euclidean plane, by Ünal Ufuktepe
Publication
Note
  • Typescript
  • Vita
Bibliography note
Includes bibliographical references (leaves 39-40)
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
39302187
Dimensions
29 cm
Dimensions
unknown
Extent
iii, 41 leaves
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote

Library Locations

    • Ellis LibraryBorrow it
      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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