## Topological Methods in Nonlinear Analysis

### 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.

#### Article information

Source
Topol. Methods Nonlinear Anal., Volume 44, Number 1 (2014), 89-104.

Dates
First available in Project Euclid: 11 April 2016

https://projecteuclid.org/euclid.tmna/1460381471

Mathematical Reviews number (MathSciNet)
MR3289009

Zentralblatt MATH identifier
1362.58006

#### Citation

Shan, Yuan; Li, Keqiang. Index theory for linear elliptic equation and multiple solutions for asymptotically linear elliptic equation with resonance. Topol. Methods Nonlinear Anal. 44 (2014), no. 1, 89--104. https://projecteuclid.org/euclid.tmna/1460381471

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