On a new index theory and non semi-trivial solutions for elliptic systems

Kung-Ching Chang; Zhi-Qiang Wang; Tan Zhang

doi:10.3934/dcds.2010.28.809

Article Contents

2010, Volume 28, Issue 2: 809-826. Doi: 10.3934/dcds.2010.28.809 open access

This issue Previous Article A structural condition for microscopic convexity principle Next Article On some Schrödinger equations with non regular potential at infinity

On a new index theory and non semi-trivial solutions for elliptic systems

1.
School of Mathematical Sciences, Peking University, Beijing 100871
2.
Department of Mathematics and Statistics, Utah State University, Logan, UT 84322
3.
Department of Mathematics and Statistics, Murray State University, Murray, KY 42071

Received: January 31, 2010

Revised: March 31, 2010

Published: June 2010

Abstract Related Papers Cited by

Abstract

Two indices, which are similar to the Krasnoselski's genus on thesphere, are defined on the product of spheres. They are applied toinvestigate the multiple non semi-trivial solutions for ellipticsystems. Both constraint and unconstraint problems are studied.

Keywords:

Mathematics Subject Classification: 35J50, 58E05.

Citation:

Article Metrics

HTML views() PDF downloads(106) Cited by(0)

On a new index theory and non semi-trivial solutions for elliptic systems

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

On a new index theory and non semi-trivial solutions for elliptic systems

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content