Geodesic
Some problems of parabolic type with discontinuous nonlinearities on convex constraints
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 1 (1990) no. 1, pp. 41-52

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We study semilinear equations and inequalities of parabolic type with discontinuous nonlinearities, possibly subjected to convex or even nonconvex constraint conditions. To prove some existence theorems we regard the solutions as «curves of maximal relaxed slope» for a suitable functional on the given constraint. 
@article{RLIN_1990_9_1_1_a7,
     author = {Frigon, Marl\`ene and Marino, Antonio and Saccon, Claudio},
     title = {Some problems of parabolic type with discontinuous nonlinearities on convex constraints},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {41--52},
     publisher = {mathdoc},
     volume = {Ser. 9, 1},
     number = {1},
     year = {1990},
     zbl = {0705.35074},
     mrnumber = {MR1081825},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_1990_9_1_1_a7/}
}
TY  - JOUR
AU  - Frigon, Marlène
AU  - Marino, Antonio
AU  - Saccon, Claudio
TI  - Some problems of parabolic type with discontinuous nonlinearities on convex constraints
JO  - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
PY  - 1990
SP  - 41
EP  - 52
VL  - 1
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/RLIN_1990_9_1_1_a7/
LA  - en
ID  - RLIN_1990_9_1_1_a7
ER  - 
%0 Journal Article
%A Frigon, Marlène
%A Marino, Antonio
%A Saccon, Claudio
%T Some problems of parabolic type with discontinuous nonlinearities on convex constraints
%J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
%D 1990
%P 41-52
%V 1
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/RLIN_1990_9_1_1_a7/
%G en
%F RLIN_1990_9_1_1_a7
Frigon, Marlène; Marino, Antonio; Saccon, Claudio. Some problems of parabolic type with discontinuous nonlinearities on convex constraints. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 1 (1990) no. 1, pp. 41-52. http://geodesic.mathdoc.fr/item/RLIN_1990_9_1_1_a7/