most citedInfinitely many solutions for -fractional Choquard type equations involving general nonlocal nonlinearities with critical growth via the concentration compactness method

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math.AP2023★ 1 cited

Infinitely many solutions for -fractional Choquard type equations involving general nonlocal nonlinearities with critical growth via the concentration compactness method

Masaki Sakuma

We prove the existence of infinitely many solutions to a fractional Choquard type equation \[ (-Δ)^s_p u+V(x)|u|^{p-2}u=(K\ast g(u))g'(u)+\varepsilon_W W(x)f'(u)\quad\text{in }\mat…

math.AP2023

Ground states for -fractional Choquard-type equations with critical local nonlinearity and doubly critical nonlocality

Masaki Sakuma

We consider a -fractional Choquard-type equation \[ (-Δ)_p^s u+a|u|^{p-2}u=b(K\ast F(u))F'(u)+\varepsilon_g |u|^{p_g-2}u \quad\text{in }, \] where $0<s<1<p<p_g\leq…