Multivalued nonpositone problems
Arcoya, David ; Calahorrano, Marco
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 1 (1990), p. 117-123 / Harvested from Biblioteca Digitale Italiana di Matematica

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.

Publié le : 1990-05-01
@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] Ambrosetti, A. - Badiale, M., 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] Ambrosetti, A. - Hess, P., Positive solutions of asymptotically linear elliptic eigenvalue problems. J. Math. Anal. Appl., 73, 1980, 411-422. | MR 563992 | Zbl 0433.35026

[3] Ambrosetti, A. - Rabinowitz, P. H., Dual variational methods in critical point theory and applications. J. Funct. Anal, 14, 1973, 349-381. | MR 370183 | Zbl 0273.49063

[4] Brown, K. J. - Castro, A. - Shtvaji, R., 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] Castro, A. - Shivaji, R., 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] Chang, K. C., 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] Gidas, B. - Ni, W. M. - Nirenberg, L., Symmetry and related properties via the maximum principle. Comm. Math. Phys., 68, 1979, 209-243. | MR 544879 | Zbl 0425.35020

[8] Polya, G. - Szego, G., Isoperimetric inequalities in mathematical physics. Princeton University Press, 1951. | MR 43486 | Zbl 0044.38301

[9] Morrey, C. B., Multiple integrals in calculus of variations. Springer, Berlin1966. | Zbl 0142.38701

[10] Stuart, C. A., Differential equations with discontinuous nonlinearities. Arch. Rat. Mech. & Analysis, 63, 1976, 59-75. | MR 481227 | Zbl 0393.34010