The effects of nonlinear perturbation terms on comparison principles for the -Laplacian
| Autor: | Ahmed Mohammed, Antonio Vitolo |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Bulletin of Mathematical Sciences, Vol 14, Iss 02 (2024) |
| Druh dokumentu: | article |
| ISSN: | 16643607 1664-3615 1664-3607 |
| DOI: | 10.1142/S166436072450005X |
| Popis: | In this paper, we investigate various comparison principles for quasilinear elliptic equations of [Formula: see text]-Laplace type with lower-order terms that depend on the solution and its gradient. More specifically, we study comparison principles for equations of the following form: −Δpu + H(u,Du) = 0,x ∈ Ω, where [Formula: see text] is the [Formula: see text]-Laplace operator with [Formula: see text], and [Formula: see text] is a continuous function that satisfies a structure condition. Many of these results lead to comparison principles for the model equations Δpu = f(u) + g(u)|Du|q,x ∈ Ω, where [Formula: see text] are non-decreasing and [Formula: see text]. Our results either improve or complement those that appear in the literature. |
| Databáze: | Directory of Open Access Journals |
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