### Index theory for linear elliptic equation and multiple solutions for asymptotically linear elliptic equation with resonance

#### Abstract

In this paper, we consider the existence and multiplicity of solutions to the elliptic equation with resonance. We classify the linear elliptic equation and obtain some new conditions on the existence and multiplicity for asymptotically linear elliptic equation by using critical point theory.

#### Keywords

Index theory; elliptic equation; asymptotically linear conditions; critical point theory; multiple solutions

#### Full Text:

FULL TEXT### Refbacks

- There are currently no refbacks.