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.
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