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math.AP2018★ 6 cited
Nonlocal scalar field equations: qualitative properties, asymptotic profiles and local uniqueness of solutions
Mousomi Bhakta, Debangana Mukherjee
We study the nonlocal scalar field equation with a vanishing parameter \[ \left\{\begin{array}{lll} (-Δ)^s u+εu &=|u|^{p-2}u -|u|^{q-2}u \quad\text{in}\quad\mathbb{R}^N \\ u >0, &…
math.AP2018★ 21 cited
Multiplicity results for fractional elliptic equations involving critical nonlinearities
Mousomi Bhakta, Debangana Mukherjee
In this paper we prove the existence of infinitely many nontrivial solutions for the class of fractional elliptic equations involving concave-critical nonlinearities in…