Geodesic
Constant Sign and Sign-Changing Solutions for Quasilinear Elliptic Equations with Neumann Boundary Condition
Journal of convex analysis, Tome 21 (2014) no. 1, pp. 53-66

Voir la notice de l'article provenant de la source Heldermann Verlag

Through variational methods, sub-supersolution and truncation techniques we prove the existence of three nontrivial solutions for a quasilinear elliptic equation with Neumann boundary condition. We provide sign information for each of these solutions: two of them are of opposite constant sign and the third one is sign changing.
Classification : 35J62, 49J45
Mots-clés : Quasilinear elliptic equations; sub-supersolution; critical point; Neumann problem; constant sign solutions; sign-changing solutions 
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     author = {G. Barletta and P. Candito and D. Motreanu},
     title = {Constant {Sign} and {Sign-Changing} {Solutions} for {Quasilinear} {Elliptic} {Equations} with {Neumann} {Boundary} {Condition}},
     journal = {Journal of convex analysis},
     pages = {53--66},
     publisher = {mathdoc},
     volume = {21},
     number = {1},
     year = {2014},
     url = {http://geodesic.mathdoc.fr/item/JCA_2014_21_1_JCA_2014_21_1_a2/}
}
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G. Barletta; P. Candito; D. Motreanu. Constant Sign and Sign-Changing Solutions for Quasilinear Elliptic Equations with Neumann Boundary Condition. Journal of convex analysis, Tome 21 (2014) no. 1, pp. 53-66. http://geodesic.mathdoc.fr/item/JCA_2014_21_1_JCA_2014_21_1_a2/