We consider the semilinear fractional equation (I − ∆)su = a(x)|u|p−2u in RN, where N ≥ 3, 0 < s < 1, 2 < p < 2N/(N − 2s) and a is a bounded weight function. Without assuming that a has an asymptotic profile at infinity, we prove the existence of a ground state solution
Secchi, S. (2018). Ground state solutions for Bessel fractional equations with irregular nonlinearities. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018(25), 221-233.
Ground state solutions for Bessel fractional equations with irregular nonlinearities
Secchi, Simone
2018
Abstract
We consider the semilinear fractional equation (I − ∆)su = a(x)|u|p−2u in RN, where N ≥ 3, 0 < s < 1, 2 < p < 2N/(N − 2s) and a is a bounded weight function. Without assuming that a has an asymptotic profile at infinity, we prove the existence of a ground state solution
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