Mediterranean Journal of Mathematics
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Some Notes on Endpoint Estimates for Pseudo-differential Operators
Mediterranean Journal of Mathematics - Tập 19 - Trang 1-14 - 2022
We study the pseudo-differential operator
$$\begin{aligned} T_a f\left( x\right) =\int _{\mathbb {R}^n}e^{ix\cdot \xi }a\left( x,\xi \right) \widehat{f}\left( \xi \right) \,\text {d}\xi , \end{aligned}$$
where the symbol a is in the Hörmander class
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Existence of Solutions for an Infinite System of Quadratic Integral Equations in the Banach Algebra $$C(I,c_0)$$
Mediterranean Journal of Mathematics - Tập 17 Số 1 - 2020
Existence of Solutions to Fractional Elliptic Equation with the Hardy Potential and Concave–Convex Nonlinearities
Mediterranean Journal of Mathematics - Tập 20 - Trang 1-16 - 2022
In this paper, by a new variational principle established by Moameni, we establish the existence of solutions to the following fractional elliptic equation with the Hardy potential and concave–convex nonlinearities,
$$\begin{aligned} {\left\{ \begin{array}{ll} (-\Delta )^{s}u(x)- \lambda \frac{u(x)}{|x|^{2s}}=u(x)^{p-1}+\mu u(x)......
On Gradient Shrinking and Expanding Kähler–Ricci Solitons
Mediterranean Journal of Mathematics - Tập 19 - Trang 1-12 - 2021
We prove that a compact gradient shrinking Kähler–Ricci soliton with subharmonic scalar curvature is Kähler–Einstein. Moreover, we show that a complete noncompact gradient shrinking Kähler–Ricci soliton with constant scalar curvature and nonnegative fourth-order divergence curvature (or Bochner) tensor is rigid. We also derive a classification theorem for complete noncompact gradient expanding Käh......
On Positive Solutions of Elliptic Equations with Oscillating Nonlinearity in $$\mathbb {R}^N$$
Mediterranean Journal of Mathematics - Tập 19 - Trang 1-19 - 2022
In this paper, we study results of existence and multiplicity of positive solutions for the following semilinear problem
$$\begin{aligned} \left\{ \begin{array}{lcl} -\Delta u= \lambda P(x)f(u)\, \text{ in } \, \mathbb {R}^N\\ \lim \limits _{|x|\rightarrow \infty }u(x)=0, \end{array} \right. \quad \quad \quad \quad \quad \quad \......
Christoffel Transforms and Hermitian Linear Functionals
Mediterranean Journal of Mathematics - Tập 2 - Trang 451-458 - 2005
In this contribution we are focused on some spectral transformations of Hermitian linear functionals. They are the analogues of the Christoffel transform for linear functionals, i. e. for Jacobi matrices which has been deeply studied in the past. We consider Hermitian linear functionals associated with a probability measure supported on the unit circle. In such a case we compare the Hessenberg mat......
Parseval Frames Built Up from Generalized Shift-Invariant Systems
Mediterranean Journal of Mathematics - Tập 11 - Trang 617-632 - 2014
Wavelet systems, and many of its generalizations such as wavelet packets, shearlets, and composite dilation wavelets are generalized shift-invariant systems (GSI) in the sense of the work by Ron and Shen. It is well known that a wavelet system is never Z-shift invariant (SI). Nevertheless, one can modify it and construct a Z-SI system, called a quasi-affine system, which shares most of the frame p......
Existence Results for a System of Kirchhoff–Schrödinger–Maxwell Equations
Mediterranean Journal of Mathematics - Tập 17 - Trang 1-22 - 2020
In this paper, we study existence, nonexistence, and properties of solutions for some Kirchhoff–Schrödinger–Maxwell systems as (1.3). The solutions can be seen as saddle points of functionals which are unbounded both from above and from below.
Inequalities on Riemannian Warped Product Submersions for Vertical Casorati Curvatures
Mediterranean Journal of Mathematics - Tập 20 - Trang 1-17 - 2023
The first and second authors introduced Riemannian warped product submersions and discussed interesting fundamental geometric properties of such submersions in Küpeli Erken and Murathan, Results Math 76(1) (2021),
https://doi.org/10.1007/s00025-020-01310-4...
Correction to: New Properties on Normalized Null Hypersurfaces
Mediterranean Journal of Mathematics - Tập 15 - Trang 1-4 - 2018
There is a mistake in the last subsection (5.3 Totally geodesic null hypersurfaces in Robertson–Walker spaces) of the paper [1]
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