Geodesic
A note on quasilinear elliptic eigenvalue problems
Electronic journal of differential equations, Tome 1999 (1999)
We study an eigenvalue problem by a non-smooth critical point theory. Under general assumptions, we prove the existence of at least one solution as a minimum of a constrained energy functional. We apply some results on critical point theory with symmetry to provide a multiplicity result.
Classification : 35D05, 35J20, 35J60
Keywords: quasilinear elliptic differential systems, equivariant category, non-smooth critical point theory, eigenvalue problem, Lagrange multipliers 
@article{EJDE_1999__1999__a141,
     author = {Arioli,  Gianni},
     title = {A note on quasilinear elliptic eigenvalue problems},
     journal = {Electronic journal of differential equations},
     year = {1999},
     volume = {1999},
     zbl = {0948.35094},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a141/}
}
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%J Electronic journal of differential equations
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Arioli,  Gianni. A note on quasilinear elliptic eigenvalue problems. Electronic journal of differential equations, Tome 1999 (1999). http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a141/