TY - JOUR
T1 - Some monotonicity results for general systems of nonlinear elliptic PDEs
AU - Brasseur, J.
AU - Dipierro, Serena
PY - 2016
Y1 - 2016
N2 - © 2016 Elsevier Inc.In this paper we show that minima and stable solutions of a general energy functional of the form. ∫ΩF(∇u,∇v,u,v,x)dx enjoy some monotonicity properties, under an assumption on the growth at infinity of the energy.Our results are quite general, and comprise some rigidity results which are known in the literature.
AB - © 2016 Elsevier Inc.In this paper we show that minima and stable solutions of a general energy functional of the form. ∫ΩF(∇u,∇v,u,v,x)dx enjoy some monotonicity properties, under an assumption on the growth at infinity of the energy.Our results are quite general, and comprise some rigidity results which are known in the literature.
U2 - 10.1016/j.jde.2016.05.017
DO - 10.1016/j.jde.2016.05.017
M3 - Article
VL - 261
SP - 2854
EP - 2880
JO - Journal of Differential Equations
JF - Journal of Differential Equations
SN - 0022-0396
IS - 5
ER -