Work

Remarks on comparison principles for p-Laplacian with extension to (p,q)-Laplacian

Year: 2024

Type: article

Abstract: Our purpose is to generalize some recent comparison principles for operators driven by [Formula: see text]-Laplacian to a wide class of quasilinear equations including [Formula: see text]-Laplacian. It turns out, in particular, that adding a [Formula: see text]-Laplacian to [Formula: see text]-Laplacian allows to weaken the assumptions needed on the Hamiltonian of lower order terms. The results are specialized in the case that the Hamiltonian has at most polynomial growth in the gradient with coefficients depending on [Formula: see text] and [Formula: see text].

Source: Bulletin of Mathematical Sciences

DOI: 10.1142/s1664360724500115

Authors: Ahmed Mohammed, Antonio Vitolo

Institutions: Ball State University, University of Salerno

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4403482514

FWCI: 3.826

Cites: 23

Cited by: 5

Related to: 10