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Existence of Multi-bump Solutions for the Magnetic Schrodinger-Poisson System in R-3

期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (11)

This paper concerns the following magnetic Schrodinger-Poisson system {-(del + iA(x))(2)u + (lambda V(x) + Z(x))u + phi u = f(vertical bar u vertical ......

Geometric Pluripotential Theory on Sasaki Manifolds

期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (2)

We extend profound results in pluripotential theory on Kahler manifolds (Darvas in , 2019) to Sasaki setting via its transverse Kahler structure. As i......

Restricted Testing for Positive Operators

期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (11)

We prove that for certain positive operators T, such as the Hardy-Littlewood maximal function and fractional integrals, there is a constant D > 1, ......

Relations Between Product and Flag Hardy Spaces

期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (7)

In Nagel et al. (J Funct Anal 181:29-118, 2001), Nagel-Ricci-Stein established the relationships between product kernels and flag kernels on the Eucli......

On Projectively Flat Finsler Warped Product Metrics of Constant Flag Curvature

期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (11)

In this paper, we study locally projectively flat Finsler metrics of constant flag curvature. We find equations that characterize these metrics by war......

Weak Slice Regular Functions on the n-Dimensional Quadratic Cone of Octonions

期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (11)

In the literature on slice analysis in the hypercomplex setting, there are two main approaches to define slice regular functions in one variable: one ......

Weighted Frechet-Kolmogorov Theorem and Compactness of Vector-Valued Multilinear Operators

期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (10)

In this paper, we establish a weighted version of the well-known Frechet-Kolmogorov theorem, which holds for weights beyond A(infinity). This weighted......

G-Sasaki Manifolds and K-Energy

期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (2)

In this paper, we introduce a class of Sasaki manifolds, called G-Sasaki manifolds with a reductive G-group action on their Kahler cones. By proving t......

Martingale Musielak-Orlicz-Lorentz Hardy Spaces with Applications to Dyadic Fourier Analysis

期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (11)

Let (Omega, F, P) be a probability space, phi : Omega x [0, infinity) -> [0, infinity) a Musielak-Orlicz function, and q is an element of (0, infin......

Remarks on 'Norm Estimates of the Partial Derivatives for Harmonic Mappings and Harmonic Quasiregular Mappings'

期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (11)

Let f = P[ F] denote the Poisson integral of F in the unit disk D with F being absolutely continuous in the unit circle T and (F) over dot is an eleme......

Positivity of Valuations on Convex Bodies and Invariant Valuations by Linear Actions

期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (11)

In this paper, we endow the space of continuous translation invariant valuations on convex sets generated by mixed volumes coupled with a suitable Rad......

Weakly PIC1 Manifolds with Maximal Volume Growth

期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (11)

In this article we study the local estimates of Ricci flow when the curvature of the initial metric is of almost PIC1 and use it to study complete man......

Double Extensions on Riemannian Ricci Nilsolitons

期刊: JOURNAL OF GEOMETRIC ANALYSIS, ; ()

In this paper, we study left invariant Lorentz algebraic Ricci solitons on nilpotent Lie groups. Based on the concept of Lorentz datum and the techniq......

On a Coupled Schrodinger System with Stein-Weiss Type Convolution Part

期刊: JOURNAL OF GEOMETRIC ANALYSIS, ; ()

In this paper, we are interested in a coupled Schrodinger system with Stein-Weiss type convolution part. Firstly we study the existence and nonexisten......

The Modified Cusp Kahler-Ricci Flow and Soliton

期刊: JOURNAL OF GEOMETRIC ANALYSIS, ; ()

In this paper, we study the limiting flow of conical Kahler-Ricci flow modified by a holomorphic vector field on a compact Kahler manifold M which car......

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