On a priori estimates for positive solutions of a semilinear biharmonic equation in a ball

Patrick Oswald · Czech digital mathematics library · 1985

We deal with a priori estimates in lf° for positive, radial symmetric solutions ueC^(B) ef the problem A 2 u m g(u) in B, u -|| -0 at dB, where BcR f H21, is the unit hall, and the nonlinearity g:R + ~-3 -> R + has superlinear growth at infinity.As a straightforward application some existence results are proved.

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