A degree theory framework for semilinear elliptic systems
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- by Congming Li and John Villavert PDF
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Abstract:
This paper establishes the existence of positive entire solutions to some systems of semilinear elliptic systems including those related to the Lane-Emden and stationary Schrödinger systems. The primary technique for generating these results employs a degree theoretic approach for the classical shooting method.References
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Additional Information
- Congming Li
- Affiliation: Department of Applied Mathematics, University of Colorado at Boulder, Boulder, Colorado 80309
- MR Author ID: 259914
- Email: congming.li@colorado.edu
- John Villavert
- Affiliation: School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley, Edinburg, Texas 78539
- Email: john.villavert@utrgv.edu, john.villavert@gmail.com
- Received by editor(s): September 11, 2015
- Published electronically: April 28, 2016
- Additional Notes: The first author is partially supported by NSF DMS-1405175 and NSFC-11571233
- Communicated by: Catherine Sulem
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 3731-3740
- MSC (2010): Primary 35B08, 35B09, 35J47, 35J61
- DOI: https://doi.org/10.1090/proc/13166
- MathSciNet review: 3513534