On Multiple Solutions for Multivalued Elliptic Equations under Navier Boundary Conditions
Journal of convex analysis, Tome 18 (2011) no. 3, pp. 627-644
Voir la notice de l'article provenant de la source Heldermann Verlag
We employ variational methods for non-smooth functionals to show existence of multiple solutions for multivalued fourth order elliptic equations under Navier boundary conditions. Our main result extends similar ones known for the Laplacian.
Classification :
35D05, 35J20
Mots-clés : Elliptic resonant problems, multiple solutions, non-smooth functionals
Mots-clés : Elliptic resonant problems, multiple solutions, non-smooth functionals
@article{JCA_2011_18_3_JCA_2011_18_3_a2,
author = {C. O. Alves and J. Abrantes Santos and J. V. A. Goncalves},
title = {On {Multiple} {Solutions} for {Multivalued} {Elliptic} {Equations} under {Navier} {Boundary} {Conditions}},
journal = {Journal of convex analysis},
pages = {627--644},
publisher = {mathdoc},
volume = {18},
number = {3},
year = {2011},
url = {http://geodesic.mathdoc.fr/item/JCA_2011_18_3_JCA_2011_18_3_a2/}
}
TY - JOUR AU - C. O. Alves AU - J. Abrantes Santos AU - J. V. A. Goncalves TI - On Multiple Solutions for Multivalued Elliptic Equations under Navier Boundary Conditions JO - Journal of convex analysis PY - 2011 SP - 627 EP - 644 VL - 18 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JCA_2011_18_3_JCA_2011_18_3_a2/ ID - JCA_2011_18_3_JCA_2011_18_3_a2 ER -
%0 Journal Article %A C. O. Alves %A J. Abrantes Santos %A J. V. A. Goncalves %T On Multiple Solutions for Multivalued Elliptic Equations under Navier Boundary Conditions %J Journal of convex analysis %D 2011 %P 627-644 %V 18 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/JCA_2011_18_3_JCA_2011_18_3_a2/ %F JCA_2011_18_3_JCA_2011_18_3_a2
C. O. Alves; J. Abrantes Santos; J. V. A. Goncalves. On Multiple Solutions for Multivalued Elliptic Equations under Navier Boundary Conditions. Journal of convex analysis, Tome 18 (2011) no. 3, pp. 627-644. http://geodesic.mathdoc.fr/item/JCA_2011_18_3_JCA_2011_18_3_a2/