Open AccessSome topological properties and asymptotic behavior of the higher eigencurves for the $p$-laplacian operator with weight
Author(s) -
Mohammed Amine Moussaoui,
Ahmed Dakkak,
Omar Chakrone
Publication year - 2022
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.44202
Subject(s) - monotonic function , laplace operator , operator (biology) , mathematics , p laplacian , pure mathematics , mathematical analysis , chemistry , biochemistry , repressor , transcription factor , gene , boundary value problem
In this papers we prove the existence of the higher eigencurves for the $p$-laplacian operator with weight, we gives its variational formulation, we study its monotonicity, continuity properties and its asymptotic behavior.