Quasilinear and singular elliptic systems
Jacques Giacomoni (LMAP), Jes\'us Hern\'andez, Paul Sauvy (LMAP)
TL;DR
This paper studies a broad class of quasilinear and singular elliptic systems, establishing existence and uniqueness results using monotonicity methods, and applies these findings to biological models.
Contribution
It introduces new existence and uniqueness results for quasilinear and singular elliptic systems using monotonicity methods, with applications to biological modeling.
Findings
Existence of solutions established
Uniqueness of solutions proven
Applications to biological models demonstrated
Abstract
In this paper, we investigate a general quasilinear elliptic and singular system. By monotonicity methods, we give some existence and uniqueness results. Next, we give some applications to biological models.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations · Chronic Myeloid Leukemia Treatments