<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

Entire solutions of quasilinear elliptic equations

Name: Entire solutions of quasilinear elliptic equations
Creator: James Serrin
Keywords: Elliptic differential equations, Liouville theorems, Applied Mathematics, Entire solutions, 0101 mathematics, 01 natural sciences, Analysis

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2009Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 352, pages 3-14 (issn: 0022-247X,

Authors: James Serrin;

doi: 10.1016/j.jmaa.2008.10.036

Entire solutions of quasilinear elliptic equations

- Summary
- Subjects
- Metrics

Abstract

AbstractWe study entire solutions of non-homogeneous quasilinear elliptic equations, with Eqs. (1) and (2) below being typical. A particular special case of interest is the following: Let u be an entire distribution solution of the equation Δpu=|u|q−1u, where p>1. If q>p−1 then u≡0. On the other hand, if 0

Related Organizations

University of Minnesota Morris
United States
School of Mathematics University of Minnesota
United States
University of Minnesota
United States
University of Minnesota System
United States

Keywords

Elliptic differential equations, Liouville theorems, Applied Mathematics, Entire solutions, Analysis

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	22
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%

Found an issue? Give us feedback

Top 10%

hybrid

Fields of Science

Fields of Science