- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:44
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
20
2004
1
Some nonexistence results for positive solutions of elliptic equations in unbounded domains
Lucio
Damascelli
Università di Roma 'Tor Vergata', ROMA, ITALY
Francesca
Gladiali
Università di Roma La Sapienza, ROMA, ITALY
Liouville theorems, Kelvin transform, maximum principle, moving plane
We prove some Liouville type theorems for positive solutions of semilinear elliptic equations in the whole space $\mathbb{R}^N$, $N\geq 3$, and in the half space $\mathbb{R}^N_{+}$ with different boundary conditions, using the technique based on the Kelvin transform and the Alexandrov-Serrin method of moving hyperplanes. In particular we get new nonexistence results for elliptic problems in half spaces satisfying mixed (Dirichlet-Neumann) boundary conditions.
Partial differential equations
General
67
86
10.4171/RMI/380
http://www.ems-ph.org/doi/10.4171/RMI/380