Zhiwei Cheng

collaborators

2 papers

math.AP2019

Fractional optimal maximization problem and the unstable fractional obstacle problem

Julian Fernandez Bonder, Zhiwei Cheng, Hayk Mikayelyan

We consider an optimal rearrangement maximization problem involving the fractional Laplace operator $(- Δ)^{s}$ , $0 < s < 1$ , and the Gagliardo-Nirenberg seminorm $[u]_{s}$ . We prove the ex…

math.AP2019

Optimal rearrangement problem and normalized obstacle problem in the fractional setting

Julián Fernández Bonder, Zhiwei Cheng, Hayk Mikayelyan

We consider an optimal rearrangement minimization problem involving the fractional Laplace operator $(- Δ)^{s}$ , $0 < s < 1$ , and Gagliardo-Nirenberg seminorm $∣ u ∣_{s}$ . We prove the existe…