### Abstract

This paper considers the system of nonlinear Dirichlet boundary value problems(Formula Presented) a bounded domain in R^{n}. Here L is a strongly, uniformly elliptic linear partial differential operator, », ε are real parameters, and f, g: R^{2} → R are smooth with f(0,0)=0=g(0,0) A detailed analysis of the solution set to the system is given from the point of view of several parameter bifurcation theory.

Original language | English (US) |
---|---|

Pages (from-to) | 263-285 |

Number of pages | 23 |

Journal | Transactions of the American Mathematical Society |

Volume | 294 |

Issue number | 1 |

DOIs | |

State | Published - 1986 |

### Fingerprint

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

**On coupled multiparameter nonlinear elliptic systems.** / Cantrell, Robert.

Research output: Contribution to journal › Article

*Transactions of the American Mathematical Society*, vol. 294, no. 1, pp. 263-285. https://doi.org/10.1090/S0002-9947-1986-0819947-4

}

TY - JOUR

T1 - On coupled multiparameter nonlinear elliptic systems

AU - Cantrell, Robert

PY - 1986

Y1 - 1986

N2 - This paper considers the system of nonlinear Dirichlet boundary value problems(Formula Presented) a bounded domain in Rn. Here L is a strongly, uniformly elliptic linear partial differential operator, », ε are real parameters, and f, g: R2 → R are smooth with f(0,0)=0=g(0,0) A detailed analysis of the solution set to the system is given from the point of view of several parameter bifurcation theory.

AB - This paper considers the system of nonlinear Dirichlet boundary value problems(Formula Presented) a bounded domain in Rn. Here L is a strongly, uniformly elliptic linear partial differential operator, », ε are real parameters, and f, g: R2 → R are smooth with f(0,0)=0=g(0,0) A detailed analysis of the solution set to the system is given from the point of view of several parameter bifurcation theory.

UR - http://www.scopus.com/inward/record.url?scp=84967772545&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84967772545&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-1986-0819947-4

DO - 10.1090/S0002-9947-1986-0819947-4

M3 - Article

VL - 294

SP - 263

EP - 285

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 1

ER -