# Positive solutions of nonlinear elliptic systems

Annales Polonici Mathematici (1993)

- Volume: 58, Issue: 2, page 201-212
- ISSN: 0066-2216

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topRobert Dalmasso. "Positive solutions of nonlinear elliptic systems." Annales Polonici Mathematici 58.2 (1993): 201-212. <http://eudml.org/doc/262321>.

@article{RobertDalmasso1993,

abstract = {We study the existence and nonexistence of positive solutions of nonlinear elliptic systems in an annulus with Dirichlet boundary conditions. In particular, $L^∞$ a priori bounds are obtained. We also study a general multiple linear eigenvalue problem on a bounded domain.},

author = {Robert Dalmasso},

journal = {Annales Polonici Mathematici},

keywords = {a priori bounds; nonlinear elliptic systems; Maximum Principle; semilinear elliptic systems in an annulus; homogeneous Dirichlet conditions; maximum principle; positive solutions; a priori bounds; multiple linear eigenvalue problem},

language = {eng},

number = {2},

pages = {201-212},

title = {Positive solutions of nonlinear elliptic systems},

url = {http://eudml.org/doc/262321},

volume = {58},

year = {1993},

}

TY - JOUR

AU - Robert Dalmasso

TI - Positive solutions of nonlinear elliptic systems

JO - Annales Polonici Mathematici

PY - 1993

VL - 58

IS - 2

SP - 201

EP - 212

AB - We study the existence and nonexistence of positive solutions of nonlinear elliptic systems in an annulus with Dirichlet boundary conditions. In particular, $L^∞$ a priori bounds are obtained. We also study a general multiple linear eigenvalue problem on a bounded domain.

LA - eng

KW - a priori bounds; nonlinear elliptic systems; Maximum Principle; semilinear elliptic systems in an annulus; homogeneous Dirichlet conditions; maximum principle; positive solutions; a priori bounds; multiple linear eigenvalue problem

UR - http://eudml.org/doc/262321

ER -

## References

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- [6] L. A. Peletier and R. C. A. M. van der Vorst, Existence and non-existence of positive solutions of non-linear elliptic systems and the biharmonic equation, Differential Integral Equations 5 (1992), 747-767. Zbl0758.35029
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