Consider operators of the form in a bounded Lipschitz domain . Assume that satisfies for every and γ is a number in a range described in the introduction. The model case is where F is a closed subset of ∂Ω and Hardy constant for V. We provide sharp two sided estimates of the Green and Martin kernel for in Ω. In addition we establish a pointwise version of the 3G inequality.
Cite this article
Moshe Marcus, Estimates of Green and Martin kernels for Schrödinger operators with singular potential in Lipschitz domains. Ann. Inst. H. Poincaré Anal. Non Linéaire 36 (2019), no. 5, pp. 1183–1200DOI 10.1016/J.ANIHPC.2018.09.003