Nonlinear degenerate elliptic equations with a convection term

Author:

Cirmi G. Rita,D’Asero Salvatore

Abstract

AbstractWe prove some existence and regularity results for the solutions of the Dirichlet problem associated with a nonlinear degenerate elliptic equation with a convection term.

Funder

Università degli Studi di Catania

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Numerical Analysis,Analysis

Reference16 articles.

1. Boccardo, L.: Some elliptic problems with degenerate coercivity. Adv. Nonlinear Stud. 6, 1–12 (2006)

2. Boccardo, L.: Some developments on Dirichlet problems with discontinuous coefficients. Boll. Un. Mat. Italiana (9) 2(1), 285–297 (2009)

3. Boccardo, L., Brezis, H.: Some remarks on a class of elliptic equations with degenerate coercivity. Boll. Unione Mat. Ital. 6, 521–530 (2003)

4. Boccardo, L., Croce, G.: $$W^{1,1}_0$$ Solutions in Some Borderline Cases of Elliptic Equations with Degenerate Coercivity. Analysis and Topology in Nonlinear Differential Equations, 135–143, Progr. Nonlinear Differential Equations Appl., 85. Birkhäuser/Springer, Cham (2014)

5. Boccardo, L., Gallouët, T.: $$W_0^{1,1}$$ solutions in some borderline cases of Calderon–Zygmund theory. J. Differ. Equ. 253, 2698–2714 (2012)

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