Dept. Math, Hokkaido Univ. EPrints Server

Sharp estimates for the Green function, 3G inequalities, and nonlinear Schr\"{o}dinger problems in uniform cones

Preprint Series # 735
Hirata, Kentaro Sharp estimates for the Green function, 3G inequalities, and nonlinear Schr\"{o}dinger problems in uniform cones. (2005);

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Abstract

We find and prove sharp estimates for the Green function and 3G inequalities in uniform cones. Estimates are applied to give equivalent conditions for measures to satisfy the generalized Cranston-McConnell inequality, and to show the existence of infinitely many continuous solutions to nonlinear Schr\"{o}dinger problems.

Item Type:Preprint
Additional Information:20 copies
Uncontrolled Keywords:Green function, Martin kernel, 3G inequality, Cranston-McConnell inequality, Kato class, nonlinear Schr\"{o}dinger equation
Subjects:31-xx POTENTIAL THEORY
ID Code:1024