Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1162.35359
Garc\'ia-Melián, Jorge; Rossi, Julio D.
Boundary blow-up solutions to elliptic systems of competitive type.
(English)
[J] J. Differ. Equations 206, No. 1, 156-181 (2004). ISSN 0022-0396

The elliptic system $\Delta u=u^pv^q$, $\Delta v=u^rv^s$, where $p,s>1$, $q,r>0$ is studied on smooth bounded domain $\Omega\subset \Bbb R^n$. Dirichlet type boundary conditions: $u=\lambda, v=\mu$ or $u=v=+\infty$ or $u=+\infty, v=\mu$ are considered with $\lambda,\mu>0$. Under certain hypotheses the existence and nonexistence of positive solutions is proved together with discussion of uniqueness and nonuniqueness. Moreover, the exact asymptotic behaviour of the solutions and their normal derivatives near $\partial \Omega$ is provided.
[Josef Dibl{\'\i}k (Brno)]
MSC 2000:
*35J55 Systems of elliptic equations, boundary value problems
35B45 A priori estimates
35J60 Nonlinear elliptic equations

Keywords: elliptic systems; boundary blow-up

Highlights
Master Server

### Zentralblatt MATH Berlin [Germany]

© FIZ Karlsruhe GmbH

Zentralblatt MATH master server is maintained by the Editorial Office in Berlin, Section Mathematics and Computer Science of FIZ Karlsruhe and is updated daily.

Other Mirror Sites

Copyright © 2013 Zentralblatt MATH | European Mathematical Society | FIZ Karlsruhe | Heidelberg Academy of Sciences