Elliptic System With Sublinear Signal Production in Dimension 2
ABSTRACT We consider the nonlinear elliptic system where is a bounded, open subset of ; is a coercive, symmetric matrix with coefficients; ; for or ; and depends on the summability of . Using a duality technique, we prove the existence of solutions in the following cases for both expressions of : 1. If , then for and for some . 2. If , then . 3. If , , then .
Authors
- J. Ignacio Tello (ORCID: https://orcid.org/0000-0003-2671-7803)
- Lucio Boccardo (ORCID: https://orcid.org/0000-0002-8067-0121)
Institutions
- Universidad Nacional de Educación a Distancia (ES)
- Sapienza University of Rome (IT)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-09-29
- DOI
- https://doi.org/10.1002/mma.70140
- Primary Topic
- Mathematical Biology Tumor Growth
- Type
- article
- Field-Weighted Citation Impact
- 0.00