Geodesic
Variational and topological methods for operator equations involving duality mappings on Orlicz-Sobolev spaces
Electronic journal of differential equations, Tome 2007 (2007)
Let

$\displaylines{ J_{a}u=\sum_{| \alpha | }(-1)^{| \alpha | }D^{\alpha }g_{\alpha }(x,D^{\alpha }u) \quad\hbox{in }\Omega , \cr D^{\alpha }u=0\hbox{ on }\partial \Omega , | \alpha | \leq m-1, }$

where

$ \| u\| _{m,A}=\| \sqrt{T[u,u]}\| _{(A)}, $

Classification : 35B38, 35B45, 47J30, 47H11
Keywords: A priori estimate, critical points, Orlicz-Sobolev spaces, Leray-Schauder topological degree, duality mapping, nemytskij operator, mountain pass theorem 
@article{EJDE_2007__2007__a270,
     author = {Dinca,  George and Matei,  Pavel},
     title = {Variational and topological methods for operator equations involving duality mappings on {Orlicz-Sobolev} spaces},
     journal = {Electronic journal of differential equations},
     year = {2007},
     volume = {2007},
     zbl = {1136.35322},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a270/}
}
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Dinca,  George; Matei,  Pavel. Variational and topological methods for operator equations involving duality mappings on Orlicz-Sobolev spaces. Electronic journal of differential equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a270/