To shed some light on the John—Nirenberg space, the authors of this article introduce the
John—Nirenberg-Q space via congruent cubes, JNQ p, q α (ℝ n), which, when p=∞ and q …

We study a general class of quasilinear elliptic equations with nonstandard growth to prove
the existence of a very weak solution to such a problem. A key ingredient in the proof is a …

Let n≥ 2 and Ω⊂ R n be a bounded nontangentially accessible domain. In this article, the
authors investigate (weighted) global gradient estimates for Dirichlet boundary value …

Let $ n\ge 2$ and $\Omega\subset\mathbb {R}^ n $ be a bounded Lipschitz domain. In this
article, we establish first-order global regularity estimates in the scale of BMO spaces on …

We consider elliptic equations and systems in divergence form with the conormal or the
Robin boundary conditions, with small BMO (bounded mean oscillation) or variably partially …

It is still not known whether a solution to the incompressible Euler equation, endowed with a
smooth initial value, can blow-up in finite time. In Vasseur and Vishik (2020)[17] it has been …

Let $ n\ge 2$ and $\Omega $ be a bounded non-tangentially accessible domain (for short,
NTA domain) of $\mathbb {R}^ n $. Assume that $ L_D $ is a second-order divergence form …

Let w be a Muckenhoupt A 2 (ℝ n) weight and Ω a Reifenberg flat domain in ℝ n. Assume
that q∈(0,∞] and p (·): Ω→(1,∞) is a variable exponent satisfying the log‐Hölder continuous …

Let n≥ 2 and let L be a second-order elliptic operator of divergence form with coefficients
consisting of both an elliptic symmetric part and a BMO anti-symmetric part in ℝ n. In this …

Let w be a Muckenhoupt A 2 (ℝ n) weight and Ω a bounded Reifenberg flat domain in ℝ n.
Assume that p (·): Ω→(1,∞) is a variable exponent satisfying the log-Hölder continuous …