We consider weak solutions of the differential inequality of p-Laplacian type -(p)u - f(u) <= - Delta(p)v - f(v) such that u <= v on a smooth bounded domain in RN and either u or v is a weak solution of the corresponding Dirichlet problem with zero boundary condition. Assuming that u < v on the boundary of the domain we prove that u < v, and assuming that u equivalent to v equivalent to 0 on the boundary of the domain we prove u < v unless u equivalent to v. The novelty is that the nonlinearity f is allowed to change sign. In particular, the result holds for the model nonlinearity f(s) = s(q) - lambda s(p-1) with q > p - 1.
Roselli, P., & Sciunzi, B. (2007). A strong comparison principle for the p-laplacian. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 135(10), 3217-3224.
Tipologia: | Articolo su rivista |
Citazione: | Roselli, P., & Sciunzi, B. (2007). A strong comparison principle for the p-laplacian. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 135(10), 3217-3224. |
URL: | http://cat.inist.fr/?aModele=afficheN&cpsidt=19082398 |
Lingua: | English |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
Revisione (peer review): | Sì, ma tipo non specificato |
Tipo: | Articolo |
Rilevanza: | Rilevanza internazionale |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1090/S0002-9939-07-08847-8 |
Stato di pubblicazione: | Pubblicato |
Data di pubblicazione: | 2007 |
Titolo: | A strong comparison principle for the p-laplacian |
Autori: | |
Autori: | Roselli, P; Sciunzi, B |
Appare nelle tipologie: | 01 - Articolo su rivista |