$\mathsf{L}^1$-elliptic regularity and $H=W$ on the whole $\mathsf{L}^p$-scale on arbitrary manifolds
The boundary Harnack inequality for variable exponent $p$-Laplacian, Carleson estimates, barrier functions and $p(\cdot)$-harmonic measures
Reconstruction and stability in acousto-optic imaging for absorption maps with bounded variation
A note on a strongly damped wave equation with fast growing nonlinearities
A consistency estimate for Kac's model of elastic collisions in a dilute gas
Explicit solutions for replicator-mutator equations: extinction vs. acceleration
Fractional Schr\"odinger-Poisson-Slater system in one dimension
Global Existence and Nonlinear Diffusion of Classical Solutions to Non-Isentropic Euler Equations with Damping in Bounded Domain
Analysis of 2+1 diffusive-dispersive PDE arising in river braiding
The higher order regularity Dirichlet problem for elliptic systems in the upper-half space
A rigorous derivation of the defocusing cubic nonlinear Schr\"{o}dinger equation on $\mathbb{T}^3$ from the dynamics of many-body quantum systems
Non-local Operators, Non-Archimedean Parabolic-type Equations with Variable Coefficients and Markov Processes
Weak Anchoring for a Two-Dimensional Liquid Crystal
Bernstein theorem for translating solitons of hypersurfaces
Counterexamples to $ C^{\infty} $ well posedness for some hyperbolic operators with triple characteristics
On the Schr\"odinger equation with potential in modulation spaces
A non-squeezing theorem for convex symplectic images of the Hilbert ball
Large deviations for some fast stochastic volatility models by viscosity methods
The mean-field approximation and the non-linear Schr\"odinger functional for trapped Bose gases
Perturbation of the semiclassical Schr\"odinger equation on negatively curved surfaces