Author(s)

Pascaline Nshimirimana¹, Vianney Mbazumutima¹, Janvier Pesser Ntahomvukiye²

¹Ecole Normale Supérieure (ENS), Bujumbura, Burundi.
²Université du Burundi, Bujumbura, Burundi.

In this present work, we consider an eigenvalue-type problem involving the p-Laplacian operator under nonlinear boundary conditions, in case $g\equiv 0$ , and we prove the existence of an isolated eigenvalue plus a continuous family of eigenvalues. We also study the maximum principle-type for with $g\ge 0$ , $g\cancel{\equiv }0$ .

Weak Solution, Eigenvalue Problem, Maximum Principle, p-Laplacian Operator, Nonlinear Boundary Conditions, Existence of Solutions

Nshimirimana, P. , Mbazumutima, V. and Ntahomvukiye, J. (2025) On Eigenvalue and Maximum Principle Type Problems Involving the p-Laplacian with Nonlinear Boundary Conditions. Journal of Applied Mathematics and Physics, 13, 2137-2148. doi: 10.4236/jamp.2025.136120.