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].
Molica Bisci, G., Malanchini, P., Secchi, S. (2025). A Note on Nonlinear Critical Problems Involving the Grushin Subelliptic Operator: Bifurcation and Multiplicity Results. POTENTIAL ANALYSIS [10.1007/s11118-025-10199-z].
A Note on Nonlinear Critical Problems Involving the Grushin Subelliptic Operator: Bifurcation and Multiplicity Results
Malanchini, Paolo;Secchi, Simone
2025
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].
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