We consider the boundary value problem (Formula presented.) where λ>0, Ω is an open bounded domain in RN, N≥3, with 0∈Ω¯, while Δγ is the Grushin operator (Formula presented.) We prove a multiplicity and bifurcation result for this problem, extending the results of Cerami, Fortunato and Struwe in [7] and of Fiscella, Molica Bisci and Servadei in [10].
A Note on Nonlinear Critical Problems Involving the Grushin Subelliptic Operator: Bifurcation and Multiplicity Results
Malanchini, Paolo;
2025-01-01
Abstract
We consider the boundary value problem (Formula presented.) where λ>0, Ω is an open bounded domain in RN, N≥3, with 0∈Ω¯, while Δγ is the Grushin operator (Formula presented.) We prove a multiplicity and bifurcation result for this problem, extending the results of Cerami, Fortunato and Struwe in [7] and of Fiscella, Molica Bisci and Servadei in [10].File in questo prodotto:
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