Affiliation:
1. Indian Institute of Technology, Kanpur, India
Abstract
The aim of this work is to characterize the asymptotic behaviour of the first eigenfunction of the generalised p-Laplace operator with mixed (Dirichlet and Neumann) boundary conditions in cylindrical domains when the length of the cylindrical domains tends to infinity. This generalises an earlier work of Chipot et al. (Asymptot. Anal. 85(3–4) (2013) 199–227) where the linear case p = 2 is studied. Asymptotic behavior of all the higher eigenvalues of the linear case and the second eigenvalues of general case (using topological degree) for such problems is also studied.
Reference32 articles.
1. On a class of intermediate local-nonlocal elliptic problems;Alves;Topol. Methods Nonlinear Anal.,2017
2. On the asymptotic behaviour of some problems of the calculus of variations;Chipot;J. Elliptic Parabol. Equ.,2015
3. M. Chipot, Asymptotic Issues for Some Partial Differential Equations, Imperial College Press, London, 2016.
4. On some elliptic problems in unbounded domains;Chipot;Chinese Ann. Math. Ser. B,2018
5. M. Chipot, Asymptotic Issues for Some Partial Differential Equations, 2nd edn, World Scientific Publishing Company, 2024.