Existence of ground state solutions for the nonlinear fractional Schrödinger–Poisson system with critical Sobolev exponent

By Kaimin Teng. 2016

185 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f4ca770a7c22be0540816122930e92f539cade95

Citations in the corpus

• The concentration behavior of ground state solutions for a fractional Schrödinger–Poisson system (2017, unknown): “In [41], Teng adapted the monotonicity trick (see for example, Jeanjean and Tanaka [24]) to obtain the existence of ground state solutions to ⎧ ⎨ ⎩ (− )su + V (x)u + φu = μ|u|q−1u + |u|2 s−2u, in R3, (− )tφ = αu2, in R3, for q ∈ (2, 2∗ s − 1).”