Geodesic
Two-species competition models with fitness-dependent dispersal on non-convex bounded domains
Electronic journal of differential equations, Tome 2015 (2015)
In this article, we show the existence of global bounded solutions to a two-species competition models with fitness-dependent dispersal posed in a bounded domain $\Omega\subset\mathbb{R}^N$ with smooth boundary. In particular, we remove the convexity assumption on $\Omega$ used by Lou-Tao-Winkler [13].
Classification : 35A01, 35B40, 35K57, 92D25
Keywords: two-species competition model, global solution, bounded solution 
@article{EJDE_2015__2015__a20,
     author = {Li,  Xie},
     title = {Two-species competition models with fitness-dependent dispersal on non-convex bounded domains},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1318.35138},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a20/}
}
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JO  - Electronic journal of differential equations
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VL  - 2015
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%0 Journal Article
%A Li,  Xie
%T Two-species competition models with fitness-dependent dispersal on non-convex bounded domains
%J Electronic journal of differential equations
%D 2015
%V 2015
%U http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a20/
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%F EJDE_2015__2015__a20
Li,  Xie. Two-species competition models with fitness-dependent dispersal on non-convex bounded domains. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a20/