Maximum principles and bounds for a class of fourth order nonlinear elliptic equations |
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Authors: | A Mareno |
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Institution: | Penn State University, Middletown, PA 17057, United States |
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Abstract: | We deduce maximum principles for a class of fourth order nonlinear elliptic equations by using auxiliary functions containing the square of the second gradient of the solution of such equations. A priori bounds on various quantities of interest are obtained. |
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Keywords: | Maximum principles Fourth order Semilinear Partial differential equations Auxiliary functions |
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