Existence and multiplicity of solutions of semilinear elliptic equations in R^N

Boyan Sirakov (1)

1 MODAL'X - Modélisation aléatoire de Paris X

We show existence of standind wave solutions of the Schrodinger equation in the whole space, in cases when the potential or the external field permit to recover the lack of compactness.

Domaines: Equations aux dérivées partielles [math.AP]

Boyan Sirakov. Existence and multiplicity of solutions of semilinear elliptic equations in R^N. Calculus of Variations and Partial Differential Equations, 2000, 11 (2), pp.119-142. ⟨hal-00004760⟩