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