Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity

By Denis Bonheure, Jean Van Schaftingen. 2010

75 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b210dac4e5eb0ccc392fab9c344bfb0cfbb2da69

Citations in the corpus

• Semi-classical states for the Choquard equation (2013, unknown): “Then the compactness of the embedding H 1¯ V ( R N ) ⊂ L 2 ( R N , ( H ε ( x ) 2 | x | α + χ Λ ( x )) d x ) follows from (4.5), see [13, theorem 4(ii)] if N ≥ 3 , or [13, p.287] for N = 1 , 2 .”