- 11-97 Alberto Farina, Enrico Valdinoci
- Pointwise estimates and rigidity results
for possibly singular and degenerate elliptic PDEs
with general nonlinearities
(192K, pdf)
Jun 17, 11
-
Abstract ,
Paper (src),
View paper
(auto. generated pdf),
Index
of related papers
-
Abstract. We prove pointwise gradient bounds
for entire solutions of PDEs of the form
$$ {\mathcal{L}} u(x)=\psi(x,u(x),
abla u(x)),$$
where ${\mathcal{L}}$ is an elliptic operator (possibly
singular or degenerate).
Thus, we obtain some Liouville type
rigidity results. Some classical results of J.~Serrin
are also recovered as particular cases of our approach.
- Files:
11-97.src(
11-97.keywords ,
gradmod.pdf.mm )