### Abstract

Nonlinear elliptic eigenvalue problems are studied of the form Lx equals lambda F(x) in OMEGA , Bx equals O on the boundary of OMEGA . The lambda -set is determined for which the boundary value problem has at least two positive solutions.

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

Pages (from-to) | 259-270 |

Number of pages | 12 |

Journal | Indiana University Mathematics Journal |

Volume | 25 |

Issue number | 3 |

State | Published - Mar 1976 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Indiana University Mathematics Journal*,

*25*(3), 259-270.

**POSITIVE SOLUTIONS OF CONVEX NONLINEAR EIGENVALUE PROBLEMS.** / Amann, Herbert; Laetsch, Theodore W.

Research output: Contribution to journal › Article

*Indiana University Mathematics Journal*, vol. 25, no. 3, pp. 259-270.

}

TY - JOUR

T1 - POSITIVE SOLUTIONS OF CONVEX NONLINEAR EIGENVALUE PROBLEMS.

AU - Amann, Herbert

AU - Laetsch, Theodore W

PY - 1976/3

Y1 - 1976/3

N2 - Nonlinear elliptic eigenvalue problems are studied of the form Lx equals lambda F(x) in OMEGA , Bx equals O on the boundary of OMEGA . The lambda -set is determined for which the boundary value problem has at least two positive solutions.

AB - Nonlinear elliptic eigenvalue problems are studied of the form Lx equals lambda F(x) in OMEGA , Bx equals O on the boundary of OMEGA . The lambda -set is determined for which the boundary value problem has at least two positive solutions.

UR - http://www.scopus.com/inward/record.url?scp=0016926581&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0016926581&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0016926581

VL - 25

SP - 259

EP - 270

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

SN - 0022-2518

IS - 3

ER -