Journal article 1078 views
Singular solutions for second-order non-divergence type elliptic inequalities in punctured balls
Journal d'Analyse Mathématique, Volume: 123, Issue: 1, Pages: 251 - 279
Swansea University Author:
Zeev Sobol
Full text not available from this repository: check for access using links below.
DOI (Published version): 10.1007/s11854-014-0020-y
Abstract
We study the existence and nonexistence of positive singular solutions to second-order non-divergence type elliptic inequalities with measurable coefficients. We prove the existence of a critical value $p^*$ that separates the existence region from non-existence. In the critical case $p=p^*$ we show...
Published in: | Journal d'Analyse Mathématique |
---|---|
ISSN: | 0021-7670 1565-8538 |
Published: |
2014
|
Online Access: |
Check full text
|
URI: | https://cronfa.swan.ac.uk/Record/cronfa14656 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
first_indexed |
2013-07-23T12:12:36Z |
---|---|
last_indexed |
2018-02-09T04:46:09Z |
id |
cronfa14656 |
recordtype |
SURis |
fullrecord |
<?xml version="1.0"?><rfc1807><datestamp>2017-12-18T16:11:01.5966266</datestamp><bib-version>v2</bib-version><id>14656</id><entry>2013-04-23</entry><title>Singular solutions for second-order non-divergence type elliptic inequalities in punctured balls</title><swanseaauthors><author><sid>f318e4c186ab19e3d3d3591a2e075d03</sid><ORCID>0000-0003-4862-427X</ORCID><firstname>Zeev</firstname><surname>Sobol</surname><name>Zeev Sobol</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2013-04-23</date><deptcode>SMA</deptcode><abstract>We study the existence and nonexistence of positive singular solutions to second-order non-divergence type elliptic inequalities with measurable coefficients. We prove the existence of a critical value $p^*$ that separates the existence region from non-existence. In the critical case $p=p^*$ we show that the existence of a singular solution depends on the rate at which the coefficients stabilize at zero and we provide some optimal conditions in this setting.</abstract><type>Journal Article</type><journal>Journal d'Analyse Mathématique</journal><volume>123</volume><journalNumber>1</journalNumber><paginationStart>251</paginationStart><paginationEnd>279</paginationEnd><publisher/><issnPrint>0021-7670</issnPrint><issnElectronic>1565-8538</issnElectronic><keywords/><publishedDay>31</publishedDay><publishedMonth>12</publishedMonth><publishedYear>2014</publishedYear><publishedDate>2014-12-31</publishedDate><doi>10.1007/s11854-014-0020-y</doi><url>arXiv:1202.3426</url><notes>arXiv:1209.1232</notes><college>COLLEGE NANME</college><department>Mathematics</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>SMA</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2017-12-18T16:11:01.5966266</lastEdited><Created>2013-04-23T12:38:57.4348581</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Mathematics and Computer Science - Mathematics</level></path><authors><author><firstname>Marius</firstname><surname>Ghergu</surname><order>1</order></author><author><firstname>Vitali</firstname><surname>Liskevich</surname><order>2</order></author><author><firstname>Zeev</firstname><surname>Sobol</surname><orcid>0000-0003-4862-427X</orcid><order>3</order></author></authors><documents/><OutputDurs/></rfc1807> |
spelling |
2017-12-18T16:11:01.5966266 v2 14656 2013-04-23 Singular solutions for second-order non-divergence type elliptic inequalities in punctured balls f318e4c186ab19e3d3d3591a2e075d03 0000-0003-4862-427X Zeev Sobol Zeev Sobol true false 2013-04-23 SMA We study the existence and nonexistence of positive singular solutions to second-order non-divergence type elliptic inequalities with measurable coefficients. We prove the existence of a critical value $p^*$ that separates the existence region from non-existence. In the critical case $p=p^*$ we show that the existence of a singular solution depends on the rate at which the coefficients stabilize at zero and we provide some optimal conditions in this setting. Journal Article Journal d'Analyse Mathématique 123 1 251 279 0021-7670 1565-8538 31 12 2014 2014-12-31 10.1007/s11854-014-0020-y arXiv:1202.3426 arXiv:1209.1232 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2017-12-18T16:11:01.5966266 2013-04-23T12:38:57.4348581 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Marius Ghergu 1 Vitali Liskevich 2 Zeev Sobol 0000-0003-4862-427X 3 |
title |
Singular solutions for second-order non-divergence type elliptic inequalities in punctured balls |
spellingShingle |
Singular solutions for second-order non-divergence type elliptic inequalities in punctured balls Zeev Sobol |
title_short |
Singular solutions for second-order non-divergence type elliptic inequalities in punctured balls |
title_full |
Singular solutions for second-order non-divergence type elliptic inequalities in punctured balls |
title_fullStr |
Singular solutions for second-order non-divergence type elliptic inequalities in punctured balls |
title_full_unstemmed |
Singular solutions for second-order non-divergence type elliptic inequalities in punctured balls |
title_sort |
Singular solutions for second-order non-divergence type elliptic inequalities in punctured balls |
author_id_str_mv |
f318e4c186ab19e3d3d3591a2e075d03 |
author_id_fullname_str_mv |
f318e4c186ab19e3d3d3591a2e075d03_***_Zeev Sobol |
author |
Zeev Sobol |
author2 |
Marius Ghergu Vitali Liskevich Zeev Sobol |
format |
Journal article |
container_title |
Journal d'Analyse Mathématique |
container_volume |
123 |
container_issue |
1 |
container_start_page |
251 |
publishDate |
2014 |
institution |
Swansea University |
issn |
0021-7670 1565-8538 |
doi_str_mv |
10.1007/s11854-014-0020-y |
college_str |
Faculty of Science and Engineering |
hierarchytype |
|
hierarchy_top_id |
facultyofscienceandengineering |
hierarchy_top_title |
Faculty of Science and Engineering |
hierarchy_parent_id |
facultyofscienceandengineering |
hierarchy_parent_title |
Faculty of Science and Engineering |
department_str |
School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics |
url |
arXiv:1202.3426 |
document_store_str |
0 |
active_str |
0 |
description |
We study the existence and nonexistence of positive singular solutions to second-order non-divergence type elliptic inequalities with measurable coefficients. We prove the existence of a critical value $p^*$ that separates the existence region from non-existence. In the critical case $p=p^*$ we show that the existence of a singular solution depends on the rate at which the coefficients stabilize at zero and we provide some optimal conditions in this setting. |
published_date |
2014-12-31T03:16:45Z |
_version_ |
1763750346294820864 |
score |
11.021648 |