TY - JOUR
T1 - Elliptic PDEs with fibered nonlinearities
AU - Savin, Ovidiu
AU - Valdinoci, Enrico
PY - 2009/4/1
Y1 - 2009/4/1
N2 - In ℝ m ×ℝ n-m, endowed with coordinates x=(x′,x″), we consider bounded solutions of the PDE Δ u(x)=f(u(x))χ(x'). We prove a geometric inequality, from which a symmetry result follows.
AB - In ℝ m ×ℝ n-m, endowed with coordinates x=(x′,x″), we consider bounded solutions of the PDE Δ u(x)=f(u(x))χ(x'). We prove a geometric inequality, from which a symmetry result follows.
KW - Rigidity and stability results
KW - Semilinear elliptic PDEs
UR - http://www.scopus.com/inward/record.url?scp=84867924384&partnerID=8YFLogxK
U2 - 10.1007/s12220-008-9064-5
DO - 10.1007/s12220-008-9064-5
M3 - Article
AN - SCOPUS:84867924384
SN - 1050-6926
VL - 19
SP - 420
EP - 432
JO - Journal of Geometric Analysis
JF - Journal of Geometric Analysis
IS - 2
ER -