Title | Positive solutions to indefinite problems: a topological approach |

Publication Type | Thesis |

Year of Publication | 2016 |

Authors | Feltrin, G |

University | SISSA |

Keywords | positive solutions |

Abstract | The present Ph.D. thesis is devoted to the study of positive solutions to indefinite problems. In the first part of the manuscript, we investigate nonlinearities g(u) with a superlinear growth at zero and at infinity (including the classical superlinear case g(u)=u^p, with p>1). In the second part, we study the super-sublinear case (i.e. g(u) is superlinear at zero and We propose a new approach based on topological degree theory for locally compact operators on open possibly unbounded sets, which applies for Dirichlet, Neumann and periodic boundary conditions. |

Custom 1 | 35528 |

Custom 2 | Mathematics |

Custom 4 | 1 |

Custom 5 | MAT/05 |

Custom 6 | Submitted by gfeltrin@sissa.it (gfeltrin@sissa.it) on 2016-09-27T16:35:29Z |

## Positive solutions to indefinite problems: a topological approach

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