TY - JOUR
T1 - Unilateral eigenvalue problems for nonlinearly elastic plates and pseudo-monotone operators
AU - Gratie, Liliana
N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].
PY - 1998/12
Y1 - 1998/12
N2 - We consider a class of variational inequalities that model the buckling of a nonlinearly elastic thin plate, clamped on a part of its boundary and lying on a flat rigid support. The existence and bifurcation results of D. Goeleven, V.H. Nguyen and M. Thera rely on the Leray-Schauder degree. In this Note, using the topological degree for pseudo-monotone operators of type (S+), we establish a more general existence result for such variational inequalities of von Kármán type. © Académie des Sciences/Elsevier, Paris.
AB - We consider a class of variational inequalities that model the buckling of a nonlinearly elastic thin plate, clamped on a part of its boundary and lying on a flat rigid support. The existence and bifurcation results of D. Goeleven, V.H. Nguyen and M. Thera rely on the Leray-Schauder degree. In this Note, using the topological degree for pseudo-monotone operators of type (S+), we establish a more general existence result for such variational inequalities of von Kármán type. © Académie des Sciences/Elsevier, Paris.
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U2 - 10.1016/S0764-4442(99)80143-8
DO - 10.1016/S0764-4442(99)80143-8
M3 - RGC 21 - Publication in refereed journal
SN - 0764-4442
VL - 327
SP - 959
EP - 964
JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
IS - 11
ER -