We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Concentration phenomena for the fractional relativistic Schrödinger-Choquard equation.
- Authors
Ambrosio, Vincenzo
- Abstract
We consider the fractional relativistic Schr¨odinger-Choquard equation ... where ε > 0 is a small parameter, s ∈ (0, 1), m > 0, N > 2s, μ ∈ (0, 2s), (-Δ + m2)s is the fractional relativistic Schr¨odinger operator, V: RN → R is a continuous potential having a local minimum, f: R → R is a continuous nonlinearity with subcritical growth at infinity and F(t) = t 0 f(τ)dτ. Exploiting appropriate variational arguments, we construct a family of solutions concentrating around the local minimum of V as ε → 0.
- Subjects
SCHRODINGER operator; EQUATIONS; ARGUMENT
- Publication
Communications in Contemporary Mathematics, 2024, Vol 26, Issue 9, p1
- ISSN
0219-1997
- Publication type
Article
- DOI
10.1142/S021919972350061X