Work

The Existence and Uniqueness of Nonlinear Elliptic Equations with General Growth in the Gradient

Year: 2024

Type: article

Abstract: In this paper, we prove the existence and uniqueness results for a weak solution to a class of Dirichlet boundary value problems whose prototype is −Δpu=β|∇u|q+f in Ω, u=0 on ∂Ω, where Ω is a bounded open subset of RN, N≥2, 1

Source: Mathematics

DOI: 10.3390/math13010063

Authors: Angelo Alvino, Vincenzo Ferone, Anna Mercaldo

Institution: University of Naples Federico II

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", European Commission, Ministero dell'Università e della Ricerca, NextGenerationEU

Awards: G1060098436, G1937107129, G2701445157, G4488344675, G4663809148, G5245466801, G5796505130, G598502428, G748405228, G912668888, G972786147

OpenAlex ID: W4405968092

FWCI: 0.765

Cites: 19

Cited by: 1

Related to: 10