A priori estimates, existence and non-existence for quasilinear cooperative elliptic systems
Journal Article
·
· Sbornik. Mathematics
- University of Alabama at Birmingham, Birmingham, AL (United States)
Let m>1 be a real number and let {omega} subset of R{sup n}, n>=2, be a connected smooth domain. Consider the system of quasi-linear elliptic differential equations ; div(|{nabla}u|{sup m-2}{nabla}u)+f(u,v); =0 in {omega}; div(|{nabla}v|{sup m-2}{nabla}v)+g(u,v); =0 in {omega}; where u>=0, v>=0, f and g are real functions. Relations between the Liouville non-existence and a priori estimates and existence on bounded domains are studied. Under appropriate conditions, a variety of results on a priori estimates, existence and non-existence of positive solutions have been established. Bibliography: 11 titles.
- OSTI ID:
- 21096795
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 4 Vol. 199; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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