Positive Solutions of Two-Point Boundary Value Problems for Monge-Ampère Equations
This paper considers the following boundary value problem: ((-u'(t))n)'=ntn-1f(u(t)), 0<t<1, u'(0)=0, u(1)=0, where n>1 is odd. We establish the method of lower and upper solutions for some boundary value problems which generalizes the above equations and using this method...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/620251 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849414101448523776 |
|---|---|
| author | Baoqiang Yan Meng Zhang |
| author_facet | Baoqiang Yan Meng Zhang |
| author_sort | Baoqiang Yan |
| collection | DOAJ |
| description | This paper considers the following boundary value problem: ((-u'(t))n)'=ntn-1f(u(t)), 0<t<1, u'(0)=0, u(1)=0, where n>1 is odd. We establish the method of lower and upper solutions for some boundary value problems which generalizes the above equations and using this method we present a necessary and sufficient condition for the existence of positive solutions to the above boundary value problem and some sufficient conditions for the existence of positive solutions. |
| format | Article |
| id | doaj-art-6e273f599d354073af3bebd339dfa464 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-6e273f599d354073af3bebd339dfa4642025-08-20T03:33:56ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/620251620251Positive Solutions of Two-Point Boundary Value Problems for Monge-Ampère EquationsBaoqiang Yan0Meng Zhang1School of Mathematical Sciences, Shandong Normal University, Jinan 250014, ChinaSchool of Mathematical Sciences, Shandong Normal University, Jinan 250014, ChinaThis paper considers the following boundary value problem: ((-u'(t))n)'=ntn-1f(u(t)), 0<t<1, u'(0)=0, u(1)=0, where n>1 is odd. We establish the method of lower and upper solutions for some boundary value problems which generalizes the above equations and using this method we present a necessary and sufficient condition for the existence of positive solutions to the above boundary value problem and some sufficient conditions for the existence of positive solutions.http://dx.doi.org/10.1155/2015/620251 |
| spellingShingle | Baoqiang Yan Meng Zhang Positive Solutions of Two-Point Boundary Value Problems for Monge-Ampère Equations Journal of Function Spaces |
| title | Positive Solutions of Two-Point Boundary Value Problems for Monge-Ampère Equations |
| title_full | Positive Solutions of Two-Point Boundary Value Problems for Monge-Ampère Equations |
| title_fullStr | Positive Solutions of Two-Point Boundary Value Problems for Monge-Ampère Equations |
| title_full_unstemmed | Positive Solutions of Two-Point Boundary Value Problems for Monge-Ampère Equations |
| title_short | Positive Solutions of Two-Point Boundary Value Problems for Monge-Ampère Equations |
| title_sort | positive solutions of two point boundary value problems for monge ampere equations |
| url | http://dx.doi.org/10.1155/2015/620251 |
| work_keys_str_mv | AT baoqiangyan positivesolutionsoftwopointboundaryvalueproblemsformongeampereequations AT mengzhang positivesolutionsoftwopointboundaryvalueproblemsformongeampereequations |