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Harnack Inequality and Applications to Solutions of Biharmonic Equations

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 168))

Abstract

We prove Harnack type inequalities for linear biharmonic equations containing a Kato potential. Various applications to local boundedness, Hölder continuity and universal estimates of solutions for biharmonic equations are presented.

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This paper is dedicated to our friend Philippe Cléement for “not killing birds”

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© 2006 Birkhäuser Verlag Basel/Switzerland

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Caristi, G., Mitidieri, E. (2006). Harnack Inequality and Applications to Solutions of Biharmonic Equations. In: Koelink, E., van Neerven, J., de Pagter, B., Sweers, G., Luger, A., Woracek, H. (eds) Partial Differential Equations and Functional Analysis. Operator Theory: Advances and Applications, vol 168. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7601-5_1

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