Geodesic
Properties of the first eigenvalue of a model for non Newtonian fluids
Electronic journal of differential equations, Tome 2010 (2010)
We consider a nonlinear Stokes problem on a bounded domain. We prove the existence of the first eigenvalue which is given by a minimization formula. Some properties such as strict monotony and the Fredholm alternative are established.
Classification : 74S05, 76T10
Keywords: k-Laplacian, eigenvalue, minimization 
@article{EJDE_2010__2010__a94,
     author = {Chakrone,  Omar and Diyer,  Okacha and Sbibih,  Driss},
     title = {Properties of the first eigenvalue of a model for non {Newtonian} fluids},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1426.76029},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a94/}
}
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%A Diyer,  Okacha
%A Sbibih,  Driss
%T Properties of the first eigenvalue of a model for non Newtonian fluids
%J Electronic journal of differential equations
%D 2010
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%F EJDE_2010__2010__a94
Chakrone,  Omar; Diyer,  Okacha; Sbibih,  Driss. Properties of the first eigenvalue of a model for non Newtonian fluids. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a94/