A System of Local/Nonlocal $p$-Laplacians: The Eigenvalue Problem and Its Asymptotic Limit as $p\to \infty$

S. Buccheri, J. V. da Silva, L. H. de Miranda

In this work, given $p\in (1,\infty )$, we prove the existence and simplicity of the first eigenvalue ${\lambda }_p$ and its corresponding eigenvector $(u_p,v_p)$, for the following local/no…