Article citationsMore>>

Serrin, J. (1964) Local Behavior of Solutions of Quasi-Linear Equations. Acta Mathematica, 111, 247-302.
https://doi.org/10.1007/bf02391014

has been cited by the following article:

• 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 .