Work

Existence of Bounded Solutions for a Class of Degenerate Fourth-Order Elliptic Equations with Convection Terms

Year: 2024

Type: article

Abstract: This paper deals with the existence of bounded and locally Hölder continuous weak solutions of the following nonlinear fourth-order Dirichlet problem: ∑|α|=1,2(−1)|α|DαAα(x,u,D1u,D2u)−Eα(x) |u|λ(pα−1) signu=f in Ω, where the coefficients Aα satisfy a strengthened degenerate coercivity condition.

Source: Mathematics

DOI: 10.3390/math13010003

Author: Salvatore D’Asero

Institution: University of Catania

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", Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni