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math.AP2020
Nonlinear eigenvalue problems and bifurcation for quasi-linear elliptic operators
Emmanuel Wend Benedo Zongo, Bernhard Ruf
In this paper, we analyze an eigenvalue problem for quasi-linear elliptic operators involving homogeneous Dirichlet boundary conditions in a open smooth bounded domain. We show tha…
math.AP2019
Non-uniqueness for a critical heat equation in two dimensions with singular data
Norisuke Ioku, Bernhard Ruf, Elide Terraneo
Nonlinear heat equations in two dimensions with singular initial data are studied. In recent works nonlinearities with exponential growth of Trudinger-Moser type have been shown to…