#
Positive solutions of nonlinear elliptic equations in the Euclidean plane
Resource Information
The work ** Positive solutions of nonlinear elliptic equations in the Euclidean plane** represents a distinct intellectual or artistic creation found in **University of Missouri Libraries**. This resource is a combination of several types including: Work, Language Material, http://bibfra.me/vocab/marc/Manuscript, Books.

The Resource
Positive solutions of nonlinear elliptic equations in the Euclidean plane
Resource Information

The work

**Positive solutions of nonlinear elliptic equations in the Euclidean plane**represents a distinct intellectual or artistic creation found in**University of Missouri Libraries**. This resource is a combination of several types including: Work, Language Material, http://bibfra.me/vocab/marc/Manuscript, Books.- Label
- Positive solutions of nonlinear elliptic equations in the Euclidean plane

- Statement of responsibility
- by Ünal Ufuktepe

- Title variation
- Solutions on nonlinear elliptic equations

- 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

- 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

- Target audience
- specialized

## Context

Context of Positive solutions of nonlinear elliptic equations in the Euclidean plane#### Work of

No resources found

No enriched resources found

## Embed

### Settings

Select options that apply then copy and paste the RDF/HTML data fragment to include in your application

Embed this data in a secure (HTTPS) page:

Layout options:

Include data citation:

<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/resource/wn4YT0chbwA/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/resource/wn4YT0chbwA/">Positive solutions of nonlinear elliptic equations in the Euclidean plane</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>

Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements

### Preview

## Cite Data - Experimental

### Data Citation of the Work Positive solutions of nonlinear elliptic equations in the Euclidean plane

Copy and paste the following RDF/HTML data fragment to cite this resource

`<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/resource/wn4YT0chbwA/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/resource/wn4YT0chbwA/">Positive solutions of nonlinear elliptic equations in the Euclidean plane</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>`