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Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series S Année : 2024

Concentration analysis for elliptic critical equations with no boundary control: ground-state blow-up

Résumé

We perform the apriori analysis of solutions to critical nonlinear elliptic equations on manifolds with boundary. The solutions are of minimizing type. The originality is that we impose no condition on the boundary, which leads us to assume L2−concentration. We also analyze the effect of a non-homogeneous nonlinearity that results in the fast convergence of the concentration point.
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Dates et versions

hal-04254969 , version 1 (23-10-2023)
hal-04254969 , version 2 (24-04-2024)

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Citer

Hussein Mesmar, Frédéric Robert. Concentration analysis for elliptic critical equations with no boundary control: ground-state blow-up. Discrete and Continuous Dynamical Systems - Series S, 2024, 17 (4), pp.1599-1620. ⟨10.48550/arXiv.2310.14994⟩. ⟨hal-04254969v1⟩
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