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Strong unique continuation property for a class of fourth order elliptic equations with strongly singular potentials
Authors:Liu  Hairong  Yang  Xiaoping
Institution:1.College of Science, Nanjing Forestry University, Nanjing, 210037, China
;2.Department of Mathematics, Nanjing University, Nanjing, 210093, China
;
Abstract:

In this paper we prove the strong unique continuation property for a class of fourth order elliptic equations involving strongly singular potentials. Our argument is to establish some Hardy-Rellich type inequalities with boundary terms and introduce an Almgren’s type frequency function to show some doubling conditions for the solutions to the above-mentioned equations.

Keywords:
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