### Abstract

We consider nonlinear elliptic Dirichlet problems driven by the sum of a p-Laplacian and a Laplacian (a (p,2) -equation). The reaction term at ±∞ is resonant with respect to any variational eigenvalue of the p-Laplacian. We prove two multiplicity theorems for such equations.

Original language | English |
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Pages (from-to) | 1077-1103 |

Number of pages | 27 |

Journal | Complex Variables and Elliptic Equations |

Volume | 65 |

Publication status | Published - 2020 |

### All Science Journal Classification (ASJC) codes

- Analysis
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics

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## Cite this

Vetro, C., Vetro, F., & Papageorgiou, N. S. (2020). (p,2)-equations resonant at any variational eigenvalue.

*Complex Variables and Elliptic Equations*,*65*, 1077-1103.