Existence and multiplicity of positive solutions to Schrödinger–Poisson type systems with critical nonlocal term
نویسندگان
چکیده
The existence, nonexistence and multiplicity of positive radially symmetric solutions to a class of Schrödinger–Poisson type systems with critical nonlocal term are studied with variational methods. The existence of both the ground state solution and mountain pass type solutions are proved. It is shown that the parameter ranges of existence and nonexistence of positive solutions for the critical nonlocal case are completely different from the ones for the subcritical nonlocal system. Mathematics Subject Classification 35J50 · 35J47 · 35J61 · 47J30
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