On the strong maximum principle for quasilinear elliptic equations and systems
Advances in Differential Equations
| dc.creator | Felmer, P. | |
| dc.creator | Quaas, A. | |
| dc.date | 2020-08-14T20:43:10Z | |
| dc.date | 2022-07-08T20:16:46Z | |
| dc.date | 2020-08-14T20:43:10Z | |
| dc.date | 2022-07-08T20:16:46Z | |
| dc.date | 2002 | |
| dc.date.accessioned | 2023-08-22T08:36:23Z | |
| dc.date.available | 2023-08-22T08:36:23Z | |
| dc.identifier | 15000001 | |
| dc.identifier | 15000001 | |
| dc.identifier | https://hdl.handle.net/10533/245976 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/8334289 | |
| dc.description | In a recent paper Pucci, Serrin and Zou [15] established a strong maximum principle (SMP) for a large of class of divergence-form inequalities, including singular elliptic operators. They considered div{A(|∇u|)∇u} − f(u) ≤ 0, u ≥ 0, (1.1) in a domain D ⊂ Rn, n ≥ 2, where f is a nondecreasing, continuous function in [0,∞) with f(0) = 0 and where the function A = A(t) satisfies (A1) A ∈ C(0,∞), (A2) t → tA(t) is strictly increasing in (0,∞) and tA(t) → 0 as t → 0. Introducing the functions F(s) = s 0 f(τ ) dτ and H(t) = t 2A(t)− t 0 sA(s) ds, and assuming that for δ > 0 δ 0 ds H−1(F(s)) = ∞ (1.2) and lim inf t→0 H(t) t2A(t) > 0, (1.3) it is proved in [15] that any nonnegative solution of (1.1) in D which vanishes at some point of D must vanish everywhere in D. | |
| dc.description | CMM | |
| dc.description | FONDAP | |
| dc.description | FONDAP | |
| dc.language | eng | |
| dc.relation | instname: ANID | |
| dc.relation | reponame: Repositorio Digital RI2.0 | |
| dc.relation | https://projecteuclid.org/download/pdf_1/euclid.ade/1356651874 | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.title | On the strong maximum principle for quasilinear elliptic equations and systems | |
| dc.title | Advances in Differential Equations | |
| dc.type | Articulo | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion |