TITLE:
On Eigenvalue and Maximum Principle Type Problems Involving the p-Laplacian with Nonlinear Boundary Conditions
AUTHORS:
Pascaline Nshimirimana, Vianney Mbazumutima, Janvier Pesser Ntahomvukiye
KEYWORDS:
Weak Solution, Eigenvalue Problem, Maximum Principle, p-Laplacian Operator, Nonlinear Boundary Conditions, Existence of Solutions
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.6,
June
30,
2025
ABSTRACT: In this present work, we consider an eigenvalue-type problem involving the p-Laplacian operator under nonlinear boundary conditions, in case
g≡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≥0
,
g
≡
0
.