Geodesic
Topological monsters in elliptic equations and spectral theory
Alberto Enciso1 orcid ; Daniel Peralta-Salas1 orcid
1Consejo Superior de Investigaciones Científicas, Madrid, Spain
EMS surveys in mathematical sciences, Tome 3 (2016) no. 1, pp. 107-130

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DOI

In this paper we will discuss the appearance of complicated geometric and topological structures through the level sets of solutions to a wide range of elliptic equations. Applications to the analysis of nodal sets of eigenfunctions of Schrödinger operators will be discussed too.
DOI : 10.4171/emss/15
Classification : 35-XX, 58-XX
Mots-clés : Level sets, elliptic equations, nodal sets, eigenfunctions, harmonic functions

Alberto Enciso  1   ; Daniel Peralta-Salas  1

1 Consejo Superior de Investigaciones Científicas, Madrid, Spain 
Alberto Enciso; Daniel Peralta-Salas. Topological monsters in elliptic equations and spectral theory. EMS surveys in mathematical sciences, Tome 3 (2016) no. 1, pp. 107-130. doi: 10.4171/emss/15
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     year = {2016},
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     number = {1},
     doi = {10.4171/emss/15},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/emss/15/}
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