Geodesic
Variational Problems with Pointwise Constraints on the Derivatives
Journal of convex analysis, Tome 6 (1999) no. 2, pp. 215-234.

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

This paper is concerned with the solvability of a class of nonlinear variational inequalities involving pointwise unilateral constraints on the laplacian. We describe the set of the pairs (ψ,h) of the right hand sides h and the obstacles ψ for which the problem has solutions and study the structure of the set of solutions. The existence and multiplicity results we obtain point out that the presence of the obstacle gives rise to some phenomena which are typical of the semilinear elliptic equations with "jumping" nonlinearities.
Classification : 35J20, 35R45, 45J10
Mots-clés : Variational problems, topological methods, pointwise constraints on the laplacian, nonsmooth analysis, subgradients 
@article{JCA_1999_6_2_JCA_1999_6_2_a0,
     author = {R. Molle and D. Passaseo},
     title = {Variational {Problems} with {Pointwise} {Constraints} on the {Derivatives}},
     journal = {Journal of convex analysis},
     pages = {215--234},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {1999},
     url = {http://geodesic.mathdoc.fr/item/JCA_1999_6_2_JCA_1999_6_2_a0/}
}
TY  - JOUR
AU  - R. Molle
AU  - D. Passaseo
TI  - Variational Problems with Pointwise Constraints on the Derivatives
JO  - Journal of convex analysis
PY  - 1999
SP  - 215
EP  - 234
VL  - 6
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JCA_1999_6_2_JCA_1999_6_2_a0/
ID  - JCA_1999_6_2_JCA_1999_6_2_a0
ER  - 
%0 Journal Article
%A R. Molle
%A D. Passaseo
%T Variational Problems with Pointwise Constraints on the Derivatives
%J Journal of convex analysis
%D 1999
%P 215-234
%V 6
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JCA_1999_6_2_JCA_1999_6_2_a0/
%F JCA_1999_6_2_JCA_1999_6_2_a0
R. Molle; D. Passaseo. Variational Problems with Pointwise Constraints on the Derivatives. Journal of convex analysis, Tome 6 (1999) no. 2, pp. 215-234. http://geodesic.mathdoc.fr/item/JCA_1999_6_2_JCA_1999_6_2_a0/