78 citations · 172 across the 51 of their papers we have counts for
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Regularity and symmetry results for the vectorial p-Laplacian
Luigi Montoro, Luigi Muglia, Berardino Sciunzi +1
We obtain some regularity results for solutions to vectorial -Laplace equations $$ -{\boldsymbol Δ}_p{\boldsymbol u}=-\operatorname{\bf div}(|D{\boldsymbol u}|^{p-2}D{\boldsymbo…
Asymptotic behaviour of solutions to the anisotropic doubly critical equation
Francesco Esposito, Luigi Montoro, Berardino Sciunzi +1
The aim of this paper is to deal with the anisotropic doubly critical equation where is in som…
Notes on Overdetermined Singular Problems
Francesco Esposito, Berardino Sciunzi, Nicola Soave
We obtain some rigidity results for overdetermined boundary value problems for singular solutions in bounded domains.
Liouville-type results for some quasilinear anisotropic elliptic equations
Alberto Farina, Berardino Sciunzi, Domenico Vuono
We prove some Liouville-type theorems for stable solutions (and solutions stable outside a compact set) of quasilinear anisotropic elliptic equations. Our results cover the particu…
Optimal second order boundary regularity for solutions to -Laplace equations
Luigi Montoro, Luigi Muglia, Berardino Sciunzi
Solutions to -Laplace equations are not, in general, of class . The study of Sobolev regularity of the second derivatives is, therefore, a crucial issue. An important contr…
Classification of solutions to Hardy-Sobolev Doubly Critical Systems
Francesco Esposito, Rafael López-Soriano, Berardino Sciunzi
This work deals with a family of Hardy-Sobolev doubly critical system defined in . More precisely, we provide a classification of the positive solutions, whose expres…