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In this artile we review some reent work on fourth order equations in onformal geometry of three and four dimensions. We dis uss some an existene result for a Yamabe-type equation in dimension three. ...
The Method of Lower and Upper Solutions for Some Fourth-Order Equations
Maximum principle Lower and upper solutions Fourth-order equation
2008/6/26
In this paper, by combining a new maximum principle of fourth-order equations with the theory of eigenline problems, we develop a monotone method in the presence of lower and upper solutions for some ...