Stationary solutions from the large D membrane paradigm
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DOI: 10.1007/jhep11(2018)026
Abstract: A bstractIt has recently been shown that the dynamics of black holes in large number of dimensions D can be recast as the dynamics of a probe membrane propagating in the background spacetime which solves… read more here.
Keywords: stationary solutions; large membrane; solutions large; membrane paradigm ... See more keywords
Bubbling nodal solutions for a large perturbation of the Moser–Trudinger equation on planar domains
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Annalen"
DOI: 10.1007/s00208-020-01975-w
Abstract: In this work we study the existence of nodal solutions for the problem $$\begin{aligned} -\Delta u = \lambda u e^{u^2+|u|^p} \quad \text { in }\quad \Omega ,\quad u = 0 \quad \text { on }\partial… read more here.
Keywords: moser trudinger; nodal solutions; solutions large; equation ... See more keywords