5 papers · 1 filter
Classification of radial blow-up at the first critical exponent for the Lin-Ni-Takagi problem in the ball
Denis Bonheure, Jean-Baptiste Casteras, Bruno Premoselli
We investigate the behaviour of radial solutions to the Lin-Ni-Takagi problem in the ball for : \begin{equation*} \left \{ \begin{aligned} - \tr…
Towers of bubbles for Yamabe-type equations and for the Brézis-Nirenberg problem in dimensions
Bruno Premoselli
Let be a closed locally conformally flat Riemannian manifold of dimension and of positive Yamabe type. If denotes a non-degenerate critical point of the mas…
A pointwise finite-dimensional reduction method for a fully coupled system of Einstein-Lichnerowicz type
Bruno Premoselli
We construct non-compactness examples for the fully coupled Einstein-Lichnerowicz constraint system in the focusing case. The construction is obtained by combining pointwise a prio…
Non-compactness and infinite number of conformal initial data sets in high dimensions
Bruno Premoselli, Juncheng Wei
On any closed Riemannian manifold of dimension greater than , we construct examples of background physical coefficients for which the Einstein-Lichnerowicz equation possesses a…
Stability and instability of the Einstein-Lichnerowicz constraint system
Bruno Premoselli
We investigate the relevance of the conformal method by investigating stability issues for the Einstein-Lichnerowicz conformal constraint system in a nonlinear scalar-field setting…