We provide a new multiplicity result for a weighted p(x)-biharmonic problem on a bounded domain Ω of Rnwith Navier conditions on ∂Ω. Our approach, of variational nature, requires a suitable oscillating behavior of the nonlinearity and the associated weight to be compactly supported in Ω.

EXISTENCE OF MULTIPLE SOLUTIONS FOR A FOURTH-ORDER PROBLEM WITH VARIABLE EXPONENT

Donatelli M.;Vilasi L.
2022-01-01

Abstract

We provide a new multiplicity result for a weighted p(x)-biharmonic problem on a bounded domain Ω of Rnwith Navier conditions on ∂Ω. Our approach, of variational nature, requires a suitable oscillating behavior of the nonlinearity and the associated weight to be compactly supported in Ω.
2022
multiplicity; Navier conditions; p(x)-biharmonic operator; variational methods
Donatelli, M.; Vilasi, L.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2136568
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