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math.AP2025
Uniqueness and multiplicity for semilinear elliptic problems in unbounded domains
Henri Berestycki, Cole Graham, Juncheng Wei
We study the influence of geometry on semilinear elliptic equations of bistable or nonlinear-field type in unbounded domains. We discover a surprising dichotomy between epigraphs t…
math.AP2025
Generalized principal eigenvalues for parabolic operators in bounded domains
Henri Berestycki, Grégoire Nadin, Luca Rossi
We introduce here new generalized principal eigenvalues for linear parabolic operators with heterogeneous coefficients in space and time. We consider a bounded spatial domain and a…