Nodal solutions to a Neumann problem for a class of (p_1,p_2)-Laplacian systems
P. Candito, S. A. Marano, A. Moussaoui
TL;DR
This paper develops a method to find nodal solutions for a class of (p_1,p_2)-Laplacian systems with Neumann boundary conditions, using sub-super-solution pairs.
Contribution
It introduces a novel approach for constructing sub-super-solution pairs to obtain nodal solutions in (p_1,p_2)-Laplacian systems with Neumann conditions.
Findings
Established existence of nodal solutions for the system.
Developed a systematic method for sub-super-solution construction.
Extended the theory to a parametric class of systems.
Abstract
Nodal solutions of a parametric (p_1,p_2)-Laplacian system, with Neumann boundary conditions, are obtained by chiefly constructing appropriate sub-super-solution pairs.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Partial Differential Equations · Advanced Mathematical Modeling in Engineering · Spectral Theory in Mathematical Physics