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Matrix Weights and Regularity for Degenerate Elliptic Equations
Giuseppe Di Fazio, Maria Stella Fanciullo, Dario Daniele Monticelli +2
We prove local boundedness, Harnack's inequality and local regularity for weak solutions of quasilinear degenerate elliptic equations in divergence form with Rough coefficients. De…
Nonexistence results for elliptic differential inequalities with a potential in bounded domains
Dario D. Monticelli, Fabio Punzo
In this paper we are concerned with a class of elliptic differential inequalities with a potential in bounded domains both of and of Riemannian manifolds. In particu…
Nonexistence of stable solutions to quasilinear elliptic equations on Riemannian manifolds
Dario D. Monticelli, Fabio Punzo, Berardino Sciunzi
We prove nonexistence of nontrivial, possibly sign changing, stable solutions to a class of quasilinear elliptic equations with a potential on Riemannian manifolds, under suitable…
Harnack's inequality and Hölder continuity for weak solutions of degenerate quasilinear equations with rough coefficients
Dario D. Monticelli, Scott Rodney, Richard L. Wheeden
We continue to study regularity results for weak solutions of the large class of second order degenerate quasilinear equations of the form \begin{eqnarray} \text{div}\big(A(x,u,\na…
Nonexistence results for elliptic differential inequalities with a potential on Riemannian manifolds
P. Mastrolia, D. D. Monticelli, F. Punzo
In this paper we are concerned with a class of elliptic differential inequalities with a potential both on $\erre^m$ and on Riemannian manifolds. In particular, we investigate the…