We give sufficient conditions for the existence of solutions of the minimum problem Pu 0 :Minimizebased on the structure of the epigraph of the lower convex envelope of g, which is assumed be lower semicontinuous and to grow at infinity faster than the power p with p larger than the dimension of the space. No convexity conditions are required on g, and no assumptions are made on the boundary datum u 0 ∈ W 1,p 0 (Ω, R).

No abstract

No abstract

We consider a class of non convex scalar functionals of the form

No abstract