Please, How to prove the coercivity to the concave-convex problem.
The associted functional is given by
E_\lambda =
||u||^p - \frac{\lambda}{q+1}\int_\Omega u^{q+1}dx - \frac{1}{r+1}\int_\Omega u^{r+1}dx
such that 0
Do you want to prove the existence of solution for the concave-convex problem? If yes, I know an approach via sub-super solution
Yes, I woulde like to prove the existence and the multiplicity of the concave-convex problem.
Prof Tavares let us start to study our problem.
Best
Saoudi
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