Full paper in PDF:
$%R. Dalmasso, Positive radial solutions for semilinear biharmonic equations in
annular domains,
Rev. Mat. Univ. Complut. Madrid 6 (1993), no. 2, 279–294.%$
We study the existence of positive radial solutions of
in an
annulus with Dirichlet boundary conditions. We establish that the equation has
at least one positive radially symmetric solution on any annulus if
and
are nonnegative,
and
is superlinear at zero and
. We also give
a property of positive radial solutions.
1991 Mathematics Subject Classification: 35B45, 35J40, 35J65.