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Bifurcation at higher eigenvalues of a class of potential operators and application

Abdelhak Mokhtari*

We study the existence of a bifurcation branch at the second and higher eigen values of a class of potential operators which possesses the Palais- Smale condition. We will also give an application of our result to a class of semi linear elliptic equations with a critical Sobolev exponent.


 
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