On nonnegative entire solutions of second-order semilinear elliptic systems
We consider the second-order semilinear elliptic system $$ Delta u_i=P_i(x)u_{i+1}^{alpha_i}quadhbox{in }mathbb{R}^N, quad i=1,2,dots,m $$ with nonnegative continuous functions $P_i$. We establish nonexistence criteria of nonnegative nontrivial entire solutions for this system. We also proved a Liou...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2003-09-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2003/94/abstr.html |
| id |
doaj-b1b64452b1e64a1d84b4dd121c86ebe5 |
|---|---|
| record_format |
Article |
| spelling |
doaj-b1b64452b1e64a1d84b4dd121c86ebe52020-11-24T21:05:18ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912003-09-01200394122On nonnegative entire solutions of second-order semilinear elliptic systemsTomomitsu TeramotoWe consider the second-order semilinear elliptic system $$ Delta u_i=P_i(x)u_{i+1}^{alpha_i}quadhbox{in }mathbb{R}^N, quad i=1,2,dots,m $$ with nonnegative continuous functions $P_i$. We establish nonexistence criteria of nonnegative nontrivial entire solutions for this system. We also proved a Liouville type theorem for nonnegative entire solutions. http://ejde.math.txstate.edu/Volumes/2003/94/abstr.htmlElliptic systemnonnegative entire solutions |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Tomomitsu Teramoto |
| spellingShingle |
Tomomitsu Teramoto On nonnegative entire solutions of second-order semilinear elliptic systems Electronic Journal of Differential Equations Elliptic system nonnegative entire solutions |
| author_facet |
Tomomitsu Teramoto |
| author_sort |
Tomomitsu Teramoto |
| title |
On nonnegative entire solutions of second-order semilinear elliptic systems |
| title_short |
On nonnegative entire solutions of second-order semilinear elliptic systems |
| title_full |
On nonnegative entire solutions of second-order semilinear elliptic systems |
| title_fullStr |
On nonnegative entire solutions of second-order semilinear elliptic systems |
| title_full_unstemmed |
On nonnegative entire solutions of second-order semilinear elliptic systems |
| title_sort |
on nonnegative entire solutions of second-order semilinear elliptic systems |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2003-09-01 |
| description |
We consider the second-order semilinear elliptic system $$ Delta u_i=P_i(x)u_{i+1}^{alpha_i}quadhbox{in }mathbb{R}^N, quad i=1,2,dots,m $$ with nonnegative continuous functions $P_i$. We establish nonexistence criteria of nonnegative nontrivial entire solutions for this system. We also proved a Liouville type theorem for nonnegative entire solutions. |
| topic |
Elliptic system nonnegative entire solutions |
| url |
http://ejde.math.txstate.edu/Volumes/2003/94/abstr.html |
| work_keys_str_mv |
AT tomomitsuteramoto onnonnegativeentiresolutionsofsecondordersemilinearellipticsystems |
| _version_ |
1716769230626488320 |