Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616468 | Journal of Mathematical Analysis and Applications | 2013 | 11 Pages |
Abstract
We study the extended Fisher–Kolmogorov (EFK) equation and its variants. By variational approach, we show that, for every global minimum ξξ of the potential function VV, there is a pair of heteroclinic solutions, one emanating from ξξ and the other terminating at ξξ. We require neither superquadratic growth of VV nor the presence of saddle-focus equilibria; moreover VV is allowed to approach its minimal level near infinity.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Y.L. Yeun,