DOI: 10.3390/axioms15080580 ISSN: 2075-1680
Normalized Solutions to a Choquard-Type Equation with Lower Critical Exponent and Nonlocal Perturbation
Huiling Wu, Liping WuThis paper is concerned with normalized solutions to the Choquard-type equation involving the lower critical nonlocal term and another nonlocal nonlinear term. We establish the existence of normalized solutions in both the mass subcritical case p∈(N+βN,N+β+2N) and the mass supercritical case p∈(N+β+2N,N+βN−2). Additionally, in the mass critical case p=N+β+2N, a nonexistence result is obtained.