Existence of Bounded Solutions for a Class of Degenerate Fourth-Order Elliptic Equations with Convection Terms
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.
Authors
- S. D’Asero (ORCID: https://orcid.org/0000-0002-7235-1462)
Institutions
- University of Catania (IT)
Publication Details
- Journal
- Mathematics
- Published
- 2024-12-24
- DOI
- https://doi.org/10.3390/math13010003
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni