Abstract
In this paper, we consider for a given smooth bounded domain Ω of
, the following
-biharmonic type problem
where λ is a positive parameter,
with
ξ is a function which satisfies the condition
with
and
is a
function. We prove the existence of a continuous family of eigenvalues in a neighbourhood of the origin, under some suitable conditions by using Ekeland's principle and variational method.
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Disclosure statement
No potential conflict of interest was reported by the authors.