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 
@article{JCA_2014_21_1_JCA_2014_21_1_a2,
     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/}
}
TY  - JOUR
AU  - G. Barletta
AU  - P. Candito
AU  - D. Motreanu
TI  - Constant Sign and Sign-Changing Solutions for Quasilinear Elliptic Equations with Neumann Boundary Condition
JO  - Journal of convex analysis
PY  - 2014
SP  - 53
EP  - 66
VL  - 21
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JCA_2014_21_1_JCA_2014_21_1_a2/
ID  - JCA_2014_21_1_JCA_2014_21_1_a2
ER  - 
%0 Journal Article
%A G. Barletta
%A P. Candito
%A D. Motreanu
%T Constant Sign and Sign-Changing Solutions for Quasilinear Elliptic Equations with Neumann Boundary Condition
%J Journal of convex analysis
%D 2014
%P 53-66
%V 21
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JCA_2014_21_1_JCA_2014_21_1_a2/
%F JCA_2014_21_1_JCA_2014_21_1_a2
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/