Geodesic
On the multiplicity of solutions for a fully nonlinear Emden-Fowler equation
Electronic journal of differential equations, Tome 2001 (2001)
We are concerned with the existence of two solutions for a fully nonlinear Emden-Fowler type equation. One solution is obtained via local minimization while the second solution follows by a mountain pass argument. A non-existence result in strictly star-shaped domains is also proven.
Classification : 35D05, 58E05
Keywords: Trudinger-Moser inequality, Euler's equations, exponential growth 
@article{EJDE_2001__2001__a38,
     author = {Squassina,  Marco},
     title = {On the multiplicity of solutions for a fully nonlinear {Emden-Fowler} equation},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {1057.35007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a38/}
}
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%0 Journal Article
%A Squassina,  Marco
%T On the multiplicity of solutions for a fully nonlinear Emden-Fowler equation
%J Electronic journal of differential equations
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%V 2001
%U http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a38/
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Squassina,  Marco. On the multiplicity of solutions for a fully nonlinear Emden-Fowler equation. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a38/