TY  - JOUR
ID  - Sanhaji2023
LB  - Sanhaji2023
AU  - Sanhaji, Ahmed
AU  - Dakkak, Ahmed
AU  - Moussaoui, Mimoun
TI  - The first eigencurve for a Neumann boundary problem involving p-Laplacian with essentially bounded weights
ST  - The first eigencurve for a Neumann boundary problem involving p-Laplacian with essentially bounded weights
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2023
VL  - 43
IS  - 4
SP  - 559
EP  - 574
DO  - https://doi.org/10.7494/OpMath.2023.43.4.559
UR  - https://doi.org/10.7494/OpMath.2023.43.4.559
AB  - This article is intended to prove the existence and uniqueness of the first eigencurve, for a homogeneous Neumann problem with singular weights associated with the equation \[-\Delta_{p} u=\alpha m_{1}|u|^{p-2}u+\beta m_{2}|u|^{p-2}u\] in a bounded domain \(\Omega \subset \mathbb{R}^{N}\). We then establish many properties of this eigencurve, particularly the continuity, variational characterization, asymptotic behavior, concavity and the differentiability.
KW  - \(p\)-Laplacian
KW  - first eigencurve
KW  - singular weight
KW  - Neumann boundary conditions
SN  - 1232-9274
ER  -