Results 81 to 90 of about 2,023 (204)

Regularity and separation for Grušin‐type p‐Laplace operators

Mathematische Nachrichten, Volume 298, Issue 5, Page 1727-1757, May 2025.
Abstract We analyze p‐Laplace type operators with degenerate elliptic coefficients. This investigation includes Grušin‐type p‐Laplace operators. We describe a separation phenomenon in elliptic and parabolic p‐Laplace type equations, which provide an illuminating illustration of simple jump discontinuities of the corresponding weak solutions ...
Daniel Hauer, Adam Sikora
wiley   +1 more source

Operators in Sobolev Morrey spaces [PDF]

, 2013
Morrey spaces were introduced by Charles Morrey in 1938. They are a useful tool in the regularity theory of partial differential equations, in real analysis and in mathematical physics.
Kydyrmina, Nurgul
core  

Some Estimates of Rough Bilinear Fractional Integral

Journal of Function Spaces and Applications, 2012
We study the boundedness of rough bilinear fractional integral BΩ,α on Morrey spaces Lp,λ(ℝn) and modified Morrey spaces L~p,λ(ℝn) and obtain some sufficient and necessary conditions on the parameters.
Yun Fan, Guilian Gao
doaj   +1 more source

Dirichlet boundary value problems for uniformly elliptic equations in modified local generalized Sobolev–Morrey spaces

Electronic Journal of Qualitative Theory of Differential Equations, 2017
In this paper, we study the boundedness of the sublinear operators, generated by Calderón–Zygmund operators in local generalized Morrey spaces. By using these results we prove the solvability of the Dirichlet boundary value problem for polyharmonic ...
Vagif Guliyev, Tahir Gadjiev, Shahla Galandarova   +2 more
doaj   +1 more source

Generalized Non-Homogeneous Morrey Spaces And Olsen Inequality

, 2008
In this paper, we shall discuss some properties of generalized non-homogeneous Morrey spaces. In addition, we will also prove the Olsen inequality in the non-homogeneous setting.
H. Gunawan, ., I. Sihwaningrum, ., Y. Soeharyadi, ., W. S. Budhi, .   +3 more
core  

Morrey spaces, weak Morrey spaces and composition operator

Gulf Journal of Mathematics
In a self-contained presentation, we discuss the Morrey and weak-Morrey spaces. Boundedness and compactness of the composition operator defined on these spaces are also studied.
Rene Erlin Castillo, Hector Camilo Chaparro, Babar Sultan   +2 more
openaire   +1 more source

A Thought on Generalized Morrey Spaces [PDF]

Journal of the Indonesian Mathematical Society, 2019
Morrey spaces can complement the boundedness propertiesof operators that Lebesgue spaces can not handle.Morrey spaces which we have been handling are called classical Morrey spaces.However,classical Morrey spaces are not totally enough to describe the boundedness properties.To this end, we need to generalize parameters $p$ and $q$, among others $p$.
openaire   +3 more sources

Partial regularity for variational integrals with Morrey–Hölder zero‐order terms, and the limit exponent in Massari's regularity theorem

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We revisit the partial C1,α$\mathrm{C}^{1,\alpha }$ regularity theory for minimizers of non‐parametric integrals with emphasis on sharp dependence of the Hölder exponent α$\alpha$ on structural assumptions for general zero‐order terms. A particular case of our conclusions carries over to the parametric setting of Massari's regularity theorem ...
Thomas Schmidt, Jule Helena Schütt
wiley   +1 more source

Morrey type spaces over unbounded domain

, 2017
We present an overview of some classical and modern results in Morrey and generalized Morrey spaces defined on Rn and over unbounded ...
Lyoubomira Softova
core