Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space-Reference-Cited by-同舟云学术

Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space

Published:2023 Issue:3 Volume:5 Page:1-23
ISSN:2640-3501
Container-title:Mathematics in Engineering
language:
Short-container-title:MINE

Author:

Gironimo Patrizia Di¹,Leonardi Salvatore²,Leonetti Francesco³,Macrì Marta³,Petricca Pier Vincenzo⁴

Affiliation:

1. Dipartimento di Matematica, Università di Salerno, 84084 Fisciano (SA), Italy

2. Dipartimento di Matematica e Informatica, Università degli Studi di Catania, 95131 Catania, Italy

3. Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Università di L'Aquila, 67100 L'Aquila, Italy

4. Via Sant'Amasio 18, 03039 Sora, Italy

Abstract

<abstract><p>We prove the existence of a solution to a quasilinear system of degenerate equations, when the datum is in a Marcinkiewicz space. The main assumption asks the off-diagonal coefficients to have support in the union of a geometric progression of squares.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Mathematical Physics,Analysis

Reference71 articles.

1. S. Aouaoui, Solutions to quasilinear equations of $N$-biharmonic type with degenerate coercivity, Electronic Journal of Differential Equations, 2014 (2014), 228.

2. A. Alvino, L. Boccardo, V. Ferone, L. Orsina, G. Trombetti, Existence results for nonlinear elliptic equations with degenerate coercivity, Annali di Matematica, 182 (2003), 53–79. https://doi.org/10.1007/s10231-002-0056-y

3. A. Alvino, V. Ferone, G. Trombetti, A priori estimates for a class of non uniformly elliptic equations, Atti Sem. Mat. Fis. Univ. Modena, 46 (1998), 381–391.

4. H. Ayadi, F. Mokhtari, Nonlinear anisotropic elliptic equations with variable exponents and degenerate coercivity, Electronic Journal of Differential Equations, 2018 (2018), 45.

5. P. Baroni, M. Colombo, G. Mingione, Regularity for general functionals with double phase, Calc. Var., 57 (2018), 62. https://doi.org/10.1007/s00526-018-1332-z