Under different assumptions on the potential functions b and c, we study the fractional equation (I- Δ) αu= λb(x) | u| p-2u+ c(x) | u| q-2u in RN. Our existence results are based on compact embedding properties for weighted spaces.
Secchi, S. (2017). On Some Nonlinear Fractional Equations Involving the Bessel Operator. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 29(3), 1173-1193 [10.1007/s10884-016-9521-y].
On Some Nonlinear Fractional Equations Involving the Bessel Operator
SECCHI, SIMONE
2017
Abstract
Under different assumptions on the potential functions b and c, we study the fractional equation (I- Δ) αu= λb(x) | u| p-2u+ c(x) | u| q-2u in RN. Our existence results are based on compact embedding properties for weighted spaces.
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