#### Vol. 2, No. 1, 2020

 Recent Issues Volume 2, Issue 2 Volume 2, Issue 1 Volume 1, Issue 4 Volume 1, Issue 3 Volume 1, Issue 2 Volume 1, Issue 1
 The Journal About the Journal Editorial Board Subscriptions Submission Guidelines Submission Form Ethics Statement Editorial Login ISSN (electronic): 2578-5885 ISSN (print): 2578-5893 Author Index To Appear Other MSP Journals
Emergence of nontrivial minimizers for the three-dimensional Ohta–Kawasaki energy
1–21

### Hans Knüpfer, Cyrill B. Muratov and Matteo Novaga

Maximal $L^2$-regularity in nonlinear gradient systems and perturbations of sublinear growth
23–34

### Wolfgang Arendt and Daniel Hauer

The local density approximation in density functional theory
35–73

### Mathieu Lewin, Elliott H. Lieb and Robert Seiringer

Sparse bounds for the discrete spherical maximal functions
75–92

### Robert Kesler, Michael T. Lacey and Darío Mena

Characterization by observability inequalities of controllability and stabilization properties
93–122

### Emmanuel Trélat, Gengsheng Wang and Yashan Xu

Stationary compressible Navier–Stokes equations with inflow condition in domains with piecewise analytical boundaries
123–155

### Piotr B. Mucha and Tomasz Piasecki

Optimal constants in nontrapping resolvent estimates and applications in numerical analysis
157–202