Nonlinear fractional field equations
The authors study the existence of ground state solutions and bounded state solutions for fractional field equations NEWLINE\[NEWLINE (-\Delta +id)^\frac12 u=f(u) \quad \text{in} \;\mathbb R^n, \quad u\in H^\frac12(\mathbb R^n). NEWLINE\]NEWLINE Such solutions decay exponentially at infinity.
scientific article; zbMATH DE number 6030597
scientific article