Open AccessSome remarks on an eigenvalue problem for an anisotropic elliptic equation with indefinite weight
Author(s) -
Nguyen Chung Thanh
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1916061c
Subject(s) - mathematics , eigenvalues and eigenvectors , anisotropy , elliptic operator , mathematical analysis , elliptic curve , operator (biology) , partial differential equation , variable (mathematics) , semi elliptic operator , pure mathematics , differential operator , biochemistry , chemistry , physics , repressor , quantum mechanics , transcription factor , gene
In this paper, we consider an eigenvalue problem for an anisotropic elliptic equation with indefinite weight, in which the differential operator involves partial derivatives with different variable exponents. Under some suitable conditions on the growth rates of the anisotropic coefficients involved in the problem, we prove some results on the existence and non-existence of a continuous family of eigenvalues by using variational methods.