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4 papers · 1 filter
Nonlinear Schrodinger equations with symmetric multi-polar potentials
Veronica Felli, Susanna Terracini
This paper deals with a class of nonlinear elliptic equations involving a critical power-nonlinearity as well as a potential featuring multiple inverse square singularities. When t…
On Hopf's Lemma and the Strong Maximum Principle
S. Bertone, A. Cellina, E. M. Marchini
In this paper we consider Hopf's Lemma and the Strong Maximum Principle for supersolutions to a class of non elliptic equations. In particular we prove a sufficient condition for t…
A variational problem for the spatial segregation of reaction--diffusion systems
Monica Conti, Susanna Terracini, Gianmaria Verzini
In this paper we study a class of stationary states for reaction--diffusion systems of densities having disjoint supports. For a class of segregation states governed by a…
Compactness and existence results for degenerate critical elliptic equations
Veronica Felli, Matthias Schneider
This paper is devoted to the study of degenerate critical elliptic equations of Caffarelli-Kohn-Nirenberg type. By means of blow-up analysis techniques, we prove an a-priori estima…