In this dissertation we study results of existence and non-existence for the following class of nonlinear elliptic problems: where RN denotes an open set containing the origin, bounded or not, with N > 4. The equation ...

this dissertation, we study a result of existence of positive solution u ∈ D1,2 (R N ) for the following class of elliptic equations −∆u + V (x)u = f(u) (x ∈ R N ) where the nonlinearity f : R → R is a continuous function ...

In this doctoral thesis we consider a problem involving the fractional p-Laplacian operator (−∆p) su −µ |u| p−2u |x| p s = |u| p ∗ s (β)−2u |x| β + |u| p ∗ s (α)−2u |x| α (x ∈ R N ) (0.7) where ...