In this note, the existence of non-negative solutions for some multivalued non-positone elliptic problems is studied.
In questa nota si studia la esistenza di soluzioni non negative di certi problemi a multivalori ellittici non lineari.
@article{RLIN_1990_9_1_2_117_0, author = {David Arcoya and Marco Calahorrano}, title = {Multivalued nonpositone problems}, journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni}, volume = {1}, year = {1990}, pages = {117-123}, zbl = {0719.35024}, mrnumber = {1081394}, language = {en}, url = {http://dml.mathdoc.fr/item/RLIN_1990_9_1_2_117_0} }
Arcoya, David; Calahorrano, Marco. Multivalued nonpositone problems. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 1 (1990) pp. 117-123. http://gdmltest.u-ga.fr/item/RLIN_1990_9_1_2_117_0/
[1] The dual variational principle and elliptic problems with discontinuous nonlinearities. J. Math. Anal. Appl., 140-2, 1989, 363-373. | MR 1001862 | Zbl 0687.35033
- ,[2] Positive solutions of asymptotically linear elliptic eigenvalue problems. J. Math. Anal. Appl., 73, 1980, 411-422. | MR 563992 | Zbl 0433.35026
- ,[3] Dual variational methods in critical point theory and applications. J. Funct. Anal, 14, 1973, 349-381. | MR 370183 | Zbl 0273.49063
- ,[4] Non-existence of radially symmetric non-negative solutions for a class of semi-positone problems. Diff. and Int. Eqns., 2, 1989, 541-545. | MR 996760 | Zbl 0736.35039
- - ,[5] Non negative solutions for a class of radially symmetric non-positone problems. Proc. American Math. Soc, 106-3, 1989, 735-740. | MR 949875 | Zbl 0686.35044
- ,[6] Variational methods for nondifferentiahle functionals and their applications to partial differential equations. J. Math. Anal. Appl., 80, 1981, 102-129. | MR 614246 | Zbl 0487.49027
,[7] Symmetry and related properties via the maximum principle. Comm. Math. Phys., 68, 1979, 209-243. | MR 544879 | Zbl 0425.35020
- - ,[8] | MR 43486 | Zbl 0044.38301
- , Isoperimetric inequalities in mathematical physics. Princeton University Press, 1951.[9] | Zbl 0142.38701
, Multiple integrals in calculus of variations. Springer, Berlin1966.[10] Differential equations with discontinuous nonlinearities. Arch. Rat. Mech. & Analysis, 63, 1976, 59-75. | MR 481227 | Zbl 0393.34010
,