Zobrazeno 1 - 10
of 2 870
pro vyhledávání: '"46e30"'
Autor:
Ahmed, Irshaad, Fiorenza, Alberto, Formica, Maria Rosaria, Gogatishvili, Amiran, Hamidi, Abdallah El
We present some regularity results on the gradient of the weak or entropic-renormalized solution $u$ to the homogeneous Dirichlet problem for the quasilinear equations of the form \begin{equation*}\label{p-laplacian_eq} -{\rm div~}(|\nabla u|^{p-2}\n
Externí odkaz:
http://arxiv.org/abs/2411.00367
Autor:
Cruz-Uribe, David
It is well known that non-negative solutions to the Dirichlet problem $\Delta u =f$ in a bounded domain $\Omega$, where $f\in L^q(\Omega)$, $q>\frac{n}2$, satisfy $\|u\|_{L^\infty(\Omega)} \leq C\|f\|_{L^q(\Omega)}$. We generalize this result by repl
Externí odkaz:
http://arxiv.org/abs/2410.17054
We study partial regularity for degenerate elliptic systems of double-phase type, where the growth function is given by $H(x,t)=t^p+a(x)t^q$ with $1
Externí odkaz:
http://arxiv.org/abs/2410.14350
Autor:
Cobb, Dimitri, Koch, Herbert
In this article, we will study unbounded solutions of the 2D incompressible Euler equations. One of the motivating factors for this is that the usual functional framework for the Euler equations (e.g. based on finite energy conditions, such as $L^2$)
Externí odkaz:
http://arxiv.org/abs/2410.05054
In this paper, we study the Cauchy problem of the classical incompressible Navier-Stokes equations and the parabolic-elliptic Keller-Segel system in the framework of the Fourier-Besov spaces with variable regularity and integrability indices. By full
Externí odkaz:
http://arxiv.org/abs/2410.05293
Autor:
Glockner, Helge, Suri, Ali
If G is a Lie group modeled on a Fr\'echet space, let e be its neutral element and g be its Lie algebra. We show that every strong ILB-Lie group G is L^1-regular in the sense that each f in L^1([0,1],g) is the right logarithmic derivative of some abs
Externí odkaz:
http://arxiv.org/abs/2410.02909
Autor:
Cruz-Uribe, David, Myyryläinen, Kim
We prove two-weight norm inequalities for parabolic fractional maximal functions using parabolic Muckenhoupt weights. In particular, we prove a two-weight, weak-type estimate and Fefferman-Stein type inequalities for the centered parabolic maximal fu
Externí odkaz:
http://arxiv.org/abs/2410.01012
In this paper, we are concerned with the well-posed issues of the fractional dissipative system in the framework of the Fourier--Besov spaces with variable regularity and integrability indices. By fully using some basic properties of these variable f
Externí odkaz:
http://arxiv.org/abs/2410.00060
Autor:
Hietanen, Vertti
We prove that the Hardy-Littlewood maximal operator is bounded in the weighted generalized Orlicz space if the weight satisfies the classical Muckenhoupt condition $A_p$ and $t \to \frac{\varphi(x,t)}{t^p}$ is almost increasing in addition to the sta
Externí odkaz:
http://arxiv.org/abs/2409.18525
Autor:
Gurka, Petr, Hauer, Daniel
In our previous publication [{\em Calc. Var. Partial Differential Equations}, 60(1):Paper No. 16, 27, 2021], we delved into examining a critical Sobolev-type embedding of a Sobolev weighted space into an exponential weighted Orlicz space. We specific
Externí odkaz:
http://arxiv.org/abs/2409.11193