Geodesic
On the multiplicity of solutions for a fully nonlinear Emden-Fowler equation
Electronic Journal of Differential Equations, Tome 2001 (2001).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2001},
     year = {2001},
     language = {en},
     url = {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/