### Abstract

Lingua originale | English |
---|---|

pagine (da-a) | 1-24 |

Numero di pagine | 24 |

Rivista | Journal of Mathematical Analysis and Applications |

Volume | 480 |

Stato di pubblicazione | Published - 2019 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Analysis
- Applied Mathematics

### Cita questo

*Journal of Mathematical Analysis and Applications*,

*480*, 1-24.

**Three solutions for parametric problems with nonhomogeneous (a,2)-type differential operators and reaction terms sublinear at zero.** / Livrea, Roberto; Gasiński, Leszek; Candito, Pasquale.

Risultato della ricerca: Article

*Journal of Mathematical Analysis and Applications*, vol. 480, pagg. 1-24.

}

TY - JOUR

T1 - Three solutions for parametric problems with nonhomogeneous (a,2)-type differential operators and reaction terms sublinear at zero

AU - Livrea, Roberto

AU - Gasiński, Leszek

AU - Candito, Pasquale

PY - 2019

Y1 - 2019

N2 - We consider parametric Dirichlet problems driven by the sum of a Laplacian and a nonhomogeneous differential operator ((a,2)-type equation) and with a reaction term which exhibits arbitrary polynomial growth and a nonlinear dependence on the parameter. We prove the existence of three distinct nontrivial smooth solutions for small values of the parameter, providing sign information for them: one is positive, one is negative and the third one is nodal

AB - We consider parametric Dirichlet problems driven by the sum of a Laplacian and a nonhomogeneous differential operator ((a,2)-type equation) and with a reaction term which exhibits arbitrary polynomial growth and a nonlinear dependence on the parameter. We prove the existence of three distinct nontrivial smooth solutions for small values of the parameter, providing sign information for them: one is positive, one is negative and the third one is nodal

UR - http://hdl.handle.net/10447/371052

M3 - Article

VL - 480

SP - 1

EP - 24

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

ER -