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• W3197708305 abstract "Reaction-diffusion systems have been primary tools for studying pattern formation. A skew-gradient system is well known to encompass a class of activator-inhibitor type reaction-diffusion systems that exhibit localized patterns such as fronts and pulses. While there is a substantial literature for the case of a linear inhibitor equation, the study of nonlinear inhibitor effect is still limited. To fill this research gap, we investigate standing pulse solutions to a skew-gradient system in which both activator and inhibitor reaction terms inherit nonlinear structures. Using a variational approach that involves several nonlocal terms, we establish the existence of standing pulse solutions with a sign change. In addition, we explore some qualitative properties of the standing pulse solutions." @default.
• W3197708305 created "2021-09-13" @default.
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• W3197708305 date "2021-11-01" @default.
• W3197708305 modified "2023-09-26" @default.
• W3197708305 title "Existence of standing pulse solutions to a skew-gradient system" @default.
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• W3197708305 doi "https://doi.org/10.1016/j.jde.2021.08.028" @default.
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