Ground state solutions for a class of p-Laplacian equations with a general nonlinear term
The following class of nonlinear p-Laplacian equation is considered:-Δpu+|u|p-2u=(Iα∗F(u))f(u),x ∈RN,where p ∈[2,+∞),N>p,α ∈(0,N),F is the primitive function of f,Iα is the Riesz potential.Under certain assumptions,a special bounded(PS)sequence is constructed,which is related to the Pohozaev's identity by the general minimax principle,and the existence of ground state solutions is proved for this class of p-Laplacian equations.In particular,the conditions on f is considered to be almost optimal.
p-Laplacian equationsground state solutionscritical growth
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