Generalized Maximum Principle for Divergence Form Elliptic Equations in Unbounded Domains
Chicco, Maurizio
Bollettino dell'Unione Matematica Italiana, Tome 2 (2009), p. 711-718 / Harvested from Biblioteca Digitale Italiana di Matematica

In this note I extend some previuos results concerning a generalized maximum principle for linear second order elliptic equations in divergence form, to the case of unbounded domains.

Publié le : 2009-10-01
@article{BUMI_2009_9_2_3_711_0,
     author = {Maurizio Chicco},
     title = {Generalized Maximum Principle for Divergence Form Elliptic Equations in Unbounded Domains},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {2},
     year = {2009},
     pages = {711-718},
     zbl = {1181.35047},
     mrnumber = {2569299},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2009_9_2_3_711_0}
}
Chicco, Maurizio. Generalized Maximum Principle for Divergence Form Elliptic Equations in Unbounded Domains. Bollettino dell'Unione Matematica Italiana, Tome 2 (2009) pp. 711-718. http://gdmltest.u-ga.fr/item/BUMI_2009_9_2_3_711_0/

[1] Chicco, M., Principio di massimo generalizzato e valutazione del primo autovalore per problemi ellittici del secondo ordine di tipo variazionale, Ann. Mat. Pura Appl. (4), 87 (1970), 1-10. | MR 280858 | Zbl 0207.10603

[2] Chicco, M., Some properties of the first eigenvalue and the first eigenfunction of linear second order elliptic partial differential equations in divergence form, Boll. Un. Mat. Ital. (4), 5 (1972), 245-254. | MR 310462 | Zbl 0245.35064

[3] Chicco, M. - Venturino, M., A priori inequalities in L(Ω) for solutions of elliptic equations in unbounded domains, Rend Sem. Mat. Univ. Padova, 102 (1999), 141- 151. | MR 1739537 | Zbl 0949.35044

[4] Chicco, M. - Venturino, M., Dirichlet problem for a divergence form elliptic equations with unbounded coefficients in an unbounded domain, Ann. Mat. Pura Appl., 178 (2000), 325-338. | MR 1849393 | Zbl 1031.35044

[5] Gagliardo, E., Proprietà di alcune classi di funzioni in più variabili, Ricerche Mat.7 (1958), 102-137. | MR 102740

[6] Protter, M. H. - Weinberger, H. F., Maximum principles in differential equations, Prentice Hall, Englewood Cliffs (1968). | MR 219861 | Zbl 0549.35002

[7] Protter, M. H. - Weinberger, H. F., On the spectrum of general second order operators, Bull. Am. Math. Soc., 72 (1966), 251-255. | MR 190527 | Zbl 0141.09901

[8] Stampacchia, G., Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier, Grenoble, 15 (1965), 189-258. | MR 192177 | Zbl 0151.15401