In dimensions 4 and 5, single blow-up points cannot coexist with residual mass for the slightly subcritical Dirichlet problem, with constructions of interior and boundary solutions depending on the sign of V's normal derivative.
Hebey,Compactness and stability for nonlinear elliptic equations, Eur
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Blowing-up Solutions with Residual Mass in a Slightly Subcritical Dirichlet Problem
In dimensions 4 and 5, single blow-up points cannot coexist with residual mass for the slightly subcritical Dirichlet problem, with constructions of interior and boundary solutions depending on the sign of V's normal derivative.