具有次线性项和双临界增长的薛定谔泊松系统规范化解的存在性OA

This paper investigates the existence of normalized solutions to the Schrödinger-Poisson system with sublinear terms and double critical growth.Due to the presence of Sobolev critical and nonlo-cal critical terms,the energy functional of the system is always unbounded from below.The concentration compactness principle is employed to recover the loss of compactness of the energy functional caused by critical growth.A truncation technique is used to ensure that the truncated functional is bounded from below and coercive.Finally,the multiplicity of normalized solutions is obtained by using the genus theory.By constructing an auxiliary map,which has the same type of geometric structure on S(a)× R as on S(a),and applying the concentration compactness principle,a mountain pass solution with positive energy level is obtained.