Abstract
We present an abstract approach to locate multiple solutions of some superlinear variational problems in a Hilbert space $H$. The approach has many points in common with existing methods, but we add a new tool by using a decomposition technique related to dual cones in $H$ which goes back to Moreau. As an application we deduce new existence results for sign changing solutions for some superlinear biharmonic boundary value problems.
Citation
Tobias Weth. "Nodal solutions to superlinear biharmonic equations via decomposition in dual cones." Topol. Methods Nonlinear Anal. 28 (1) 33 - 52, 2006.
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