37 citations · 164 across the 28 of their papers we have counts for
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Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators
Francesco Della Pietra, Nunzia Gavitone
We prove a sharp upper bound for the first Dirichlet eigenvalue of a class of nonlinear elliptic operators which includes the p-Laplace and the pseudo-p-Laplace operators. Moreover…
Anisotropic elliptic equations with general growth in the gradient and Hardy-type potentials
Francesco Della Pietra, Nunzia Gavitone
We give existence and regularity results for solutions of some nonlinear elliptic problems. The equations we deal with are modeled on a problem which involves in its principal part…
Relative isoperimetric inequality in the plane: the anisotropic case
Francesco Della Pietra, Nunzia Gavitone
We prove a relative isoperimetric inequality in the plane, when the perimeter is defined with respect to a convex, positively homogeneous function of degree one, and characterize t…
Upper bounds for the eigenvalues of Hessian equations
Francesco Della Pietra, Nunzia Gavitone
We prove some upper bounds for the Dirichlet eigenvalues of a class of fully nonlinear elliptic equations, namely the Hessian equations