Geodesic
A multiplicity result for a non-autonomous sublinear elliptic problem involving nonlinearities indefinite in sign
Minimax theory and its applications, Tome 4 (2019) no. 1
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Let Ω be a bounded smooth domain in RN, let α,β Ω R be two measurable functions, and let s and r ,s. We deal with the following non autonomous elliptic problem ∆u αxus− μβxur− , u u|∂Ω , Ω Ω where μ R is a parameter. We establish, via minimax methods, a multiplicity result under suitable summability conditions on the weight functions α,β.
Mots-clés : Sublinear elliptic problem, weight function, nonnegative solution, positive solution, minimax method, mountain pass, multiplicity 
@article{MTA_2019_4_1_a1,
     author = {Giovanni Anello and Luca Furnari},
     title = {A multiplicity result for a non-autonomous sublinear elliptic problem involving nonlinearities indefinite in sign},
     journal = {Minimax theory and its applications},
     year = {2019},
     volume = {4},
     number = {1},
     zbl = {1422.35067},
     url = {http://geodesic.mathdoc.fr/item/MTA_2019_4_1_a1/}
}
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Giovanni Anello; Luca Furnari. A multiplicity result for a non-autonomous sublinear elliptic problem involving nonlinearities indefinite in sign. Minimax theory and its applications, Tome 4 (2019) no. 1. http://geodesic.mathdoc.fr/item/MTA_2019_4_1_a1/