Gradient estimates via rearrangements for solutions of some Schrödinger equations
2018 ◽
Vol 16
(03)
◽
pp. 339-361
◽
Keyword(s):
In this paper, by applying the well-known method for dealing with [Formula: see text]-Laplace type elliptic boundary value problems, the authors establish a sharp estimate for the decreasing rearrangement of the gradient of solutions to the Dirichlet and the Neumann boundary value problems of a class of Schrödinger equations, under the weak regularity assumption on the boundary of domains. As applications, the gradient estimates of these solutions in Lebesgue spaces and Lorentz spaces are obtained.
2016 ◽
Vol 290
◽
pp. 1010-1039
◽
2006 ◽
Vol 11
(4)
◽
pp. 323-329
◽
2001 ◽
Vol 33
(10)
◽
pp. 18
2008 ◽
Vol 11
(4-6)
◽
pp. 273-291
◽
1976 ◽
Vol 14
(3)
◽
pp. 471-472
2006 ◽
Vol 58
(2)
◽
pp. 244-262
◽