2 citations · 2 across the 6 of their papers we have counts for
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Sectional symmetry of solutions of elliptic systems in cylindrical domains
Lucio Damascelli, Filomena Pacella
In this paper we prove a kind of rotational symmetry for solutions of semilinear elliptic systems in some bounded cylindrical domains. The symmetry theorems obtained hold for low-M…
A priori estimates for some elliptic equations involving the -Laplacian
Lucio Damascelli, Rosa Pardo
We consider the Dirichlet problem for positive solutions of the equation in a convex, bounded, smooth domain , with locally Lipschitz continuous…
Morse Index and Symmetry for Elliptic Problems with Nonlinear Mixed Boundary Conditions
Lucio Damascelli, Filomena Pacella
Under a Morse index condition we prove symmetry results for solutions of a nonlinear mixed boundary condition elliptic problem. As an intermediate step we relate the Morse index of…
Radial symmetry and applications for a problem involving the operator and critical nonlinearity in~
Lucio Damascelli, Susana Merchan, Luigi Montoro +1
We consider weak non-negative solutions to the critical -Laplace equation in , in the singular case . We prove that if the nonlinearity…
Symmetry results for cooperative elliptic systems in unbounded domains
Lucio Damascelli, Francesca Gladiali, Filomena Pacella
In this paper we prove symmetry results for classical solutions of semilinear cooperative elliptic systems in R^N, or in the exterior of a ball. We consider the case of fully coupl…
Symmetry results for cooperative elliptic systems via linearization
Lucio Damascelli, Filomena Pacella
In this paper we prove symmetry results for classical solutions of nonlinear cooperative elliptic systems in a ball or in annulus in $\RN$, . More precisely we prove tha…