Nodal solutions for singular semilinear elliptic systems
Abdelkrim Moussaoui
TL;DR
This paper establishes the existence of sign-changing solutions for certain singular semilinear elliptic systems using a combined sub-supersolution and perturbation approach.
Contribution
It introduces a novel method to find nodal solutions in systems lacking variational structure, addressing singular terms and sign-changing components.
Findings
Proved existence of nodal solutions for singular elliptic systems
Developed a combined sub-supersolution and perturbation method
Addressed systems without variational structure and with sign-changing components
Abstract
n this paper, we prove existence of nodal solutions for singular semilinear elliptic systems without variational structure where its both components are of sign changing. Our approach is based on sub-supersolutions method combined with perturbation arguments involving singular terms.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Advanced Mathematical Modeling in Engineering · Differential Equations and Numerical Methods