Characterization of the Palais–Smale sequences for the conformal Dirac–Einstein problem and applications
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DOI: 10.1016/j.jde.2018.08.037
Abstract: In this paper we study the Palais-Smale sequences of the conformal Dirac-Einstein problem. After we characterize the bubbling phenomena, we prove an Aubin type result leading to the existence of a positive solution. Then we… read more here.
Keywords: conformal dirac; dirac einstein; sequences conformal; palais smale ... See more keywords
Degenerating sequences of conformal classes and the conformal Steklov spectrum
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DOI: 10.4153/s0008414x21000171
Abstract: Let $\Sigma$ be a compact surface with boundary. For a given conformal class $c$ on $\Sigma$ the functional $\sigma_k^*(\Sigma,c)$ is defined as the supremum of the $k-$th normalized Steklov eigenvalue over all metrics on $c$.… read more here.
Keywords: sequences conformal; sigma sigma; degenerating sequences; conformal classes ... See more keywords