EXISTENCE AND LOCATION OF SOLUTIONS FOR A GENERAL ELLIPTIC SYSTEM WITH INTRINSIC OPERATORS

Roberto Livrea^†, Dumitru Motreanu^‡, Angela Sciammetta^§

Abstract: IThe existence and location of solutions are established for an elliptic system with full gradient dependence and intrinsic operators. The abstract results are applied to a system with convolution products.

Keywords: elliptic system, intrinsic operator, gradient dependence, convolution product.

MSC: 35J57, 35J92, 47H05.

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DOI 10.56082/annalsarscimath.2026.1.101

^†roberto.livrea@unime.it, Department of Engineering, University of Messina, 98166 Messina, Italy
^‡motreanu@univ-perp.fr, Département de Mathématiques de l’Université de Perpignan Via Domitia, 66860 Perpignan, France
^§angela.sciammetta@unipa.it, Department of Mathematics and Computer Science, University of Palermo, 90123 Palermo, Italy

PUBLISHED in

Annals Academy of Romanian Scientists Series on Mathematics and Its Application,

Volume 18 no 1, 2026

ISSN ONLINE 2066 – 6594
ISSN PRINT 2066 – 5997