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of 28
pro vyhledávání: '"Gluck, Mathew"'
Autor:
Gluck, Mathew
In this work we consider a system of quasilinear elliptic equations driven by an anisotropic $p$-Laplacian. The lower-order nonlinearities are in potential form and exhibit critical Sobolev growth. We exhibit conditions on the coefficients of the dif
Externí odkaz:
http://arxiv.org/abs/2312.17737
Autor:
Gluck, Mathew
In this work we obtain sharp embedding inequalities for a family of conformally invariant integral extension operators. This family includes among others the classical Poisson extension operator and the extension operator with Riesz kernel. We show t
Externí odkaz:
http://arxiv.org/abs/1711.11198
Autor:
Gluck, Mathew, Zhu, Meijun
In this paper we study a sharp Hardy-Littlewood-Sobolev (HLS) type inequality with Riesz potential on bounded smooth domains. We obtain the inequality for a general bounded domain $\Omega$ and show that if the extension constant for $\Omega$ is stric
Externí odkaz:
http://arxiv.org/abs/1709.03649
Autor:
Gluck, Mathew R., Zhang, Lei
For $N\geq 3$ and non-negative real numbers $a_{ij}$ and $b_{ij}$ ($i,j= 1, \cdots, m$), the semi-linear elliptic system \begin{equation*} \begin{cases} \Delta u_i + \prod_{j = 1}^m u_j^{a_{ij}} = 0 & \text{ in } \mathbb R_+^N, \frac{\partial u_i}{\p
Externí odkaz:
http://arxiv.org/abs/1401.2666
Autor:
Gluck, Mathew1 mgluck@towson.edu
Publikováno v:
Mathematics Enthusiast. Dec2022, Vol. 19 Issue 3, p822-832. 11p.
Autor:
Gluck, Mathew1 mgluck@towson.edu, Kolesnikov, Alexei1 akolesnikov@towson.edu
Publikováno v:
Mathematics Enthusiast. Dec2022, Vol. 19 Issue 3, p785-793. 9p.
In this paper we consider a class of prescribing curvature type equations on half Euclidean balls. Under suitable assumptions on the scalar curvature function and boundary mean curvature function we prove a min-max type inequality and the correspondi
Externí odkaz:
http://arxiv.org/abs/1309.1135
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