Topological Methods in Nonlinear Analysis

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

Yuan Shan and Keqiang Li

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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

Permanent link to this document
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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