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Fernández Bonder, J. and Rossi, J.D. (2002) A Nonlinear Eigenvalue Problem with Indefinite Weights Related to the Sobolev Trace Embedding. Publicacions Matemàtiques, 46, 221-235.
https://doi.org/10.5565/publmat_46102_12

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 .