Existence and concentration of ground states for Schrödinger-Poisson equations with critical growth
By Xiaoming He, Wenming Zou. 2012
154 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/eee04d02699b23a2082e5d7728b98366480d8e3d
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In Applied Mathematics
In Computational Theory and Mathematics
Citations in the corpus
- The concentration behavior of ground state solutions for a fractional Schrödinger–Poisson system (2017, unknown): “The critical case was considered in [20], He and Zou proved that system (1.”
- Existence and concentration of positive ground states for a Kirchhoff equation involving critical Sobolev exponent (2014, result): “For problem (1.3) with b = 0, if f(x, u) = f(u) is a subcritical growth in (1.3) and V (x) satisfies the assumption (V) V ∈ C(R3,R+) and V∞ := lim inf|x|→∞ V (x) > V0 = infx∈R3 V (x) > 0, which is first introduced by Rabinowitz [41] in the study of a nonlinear Schrödinger equation with the nonlinea”