Nodal solutions to superlinear biharmonic equations via decomposition in dual cones

Tobias Weth


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.


Flow invariant sets; multliple critical points; dual cone; sign changing solutions; biharmonic equations

Full Text:



  • There are currently no refbacks.

Partnerzy platformy czasopism