On Some Nonlinear Fractional Equations Involving the Bessel Operator |
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| Authors: | Simone Secchi |
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| Affiliation: | 1.Dipartimento di Matematica e Applicazioni,Università degli Studi di Milano Bicocca,Milano,Italy |
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| Abstract: | Under different assumptions on the potential functions b and c, we study the fractional equation (left( I-varDelta right) ^{alpha } u = lambda b(x) |u|^{p-2}u+c(x)|u|^{q-2}u) in (mathbb {R}^N). Our existence results are based on compact embedding properties for weighted spaces. |
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