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.
Articolo in rivista - Articolo scientifico
Bessel spaces; Fractional Laplacian; Fractional Sobolev Spaces;
Bessel spaces; Fractional Laplacian; Fractional Sobolev Spaces; Analysis
English
2017
29
3
1173
1193
none
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/168987
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