Nodal solutions to superlinear biharmonic equations via decomposition in dual cones
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Flow invariant sets, multliple critical points, dual cone, sign changing solutions, biharmonic equationsAbstrakt
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.Pobrania
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2006-09-01
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WETH, Tobias. Nodal solutions to superlinear biharmonic equations via decomposition in dual cones. Topological Methods in Nonlinear Analysis [online]. 1 wrzesień 2006, T. 28, nr 1, s. 33–52. [udostępniono 22.7.2024].
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