Embedded Files
Once a paper is accepted it goes immediately into production. It is a policy of the journal to make papers available online soon after acceptance.
Francesco Maltese: The existence and local uniqueness of the eigenfunctions of the non-linear operator ΔHun in the hyperbolic Poincaré half-plane.
📥 Full Text (Postprint), posted online 31 October 2025.
Abstract. In this article, we find locally eigenfunctions for a particular nonlinear hyperbolic differential operator ΔHun where ΔH is the hyperbolic Laplacian in the Poincaré half-plane.
We have proved that these eigenfunctions are an analytic and non-exact, whose coefficients satisfy a specific algebraic recursive rule.
The existence of these eigenfunctions allows us to find non-exact solutions with respect to the spatial coordinate of nonlinear diffusive PDEs on the Poincaré half-plane, which could describe a possible one-dimensional physical model.
Eberhard Freitag and Riccardo Salvati Manni: Some Remarks to a Theorem of van Geemen
📥 Full Text (Editorial version), posted online 31 October 2025.
Abstract. In [3], Bert van Geemen computed the dimension of the space of the fourth power of the thetanullwerte. In [7], it has been observed that all linear relations are consequences of the quartic Riemann relations. In this note, we want to give a new proof of these results and extend them. to the vector valued case. In a last section we treat the linear dependencies between arbitrary powers of the thetanullwerte. We will show that k = 4 is the only case where such dependencies can occur.
Marco Cecchini: Self-Similar Vortex Patches: Expansion Rate and Angular Velocity
Marco Cecchini: Self-Similar Vortex Patches: Expansion Rate and Angular Velocity
📥 Full Text (Editorial version), posted online 31 October 2025.
Abstract. We study the time evolution of an incompressible Euler fluid with planar symmetry when the vorticity is initially concentrated in small disks, close to a three point self-similarly expanding configurations in the point vortex model.
We show that the centers of mass of these patches follow a self-similarly expanding trajectory and, for the first time, compute their angular velocity, while also refining the accuracy of the expansion rate, extending the work of Samuel Zbarsky.
As a corollary, we obtain a stability result for self-similarly expanding configurations of three point vortices.
Matteo Doni: R-Mod-enriched categories are left R-module objects of Cat(Ab) and Cat(Ab)-enriched functors
📥 Full Text (Editorial version), posted online 7 July 2025.
Abstract. (HTML abridged version) We establish the feasibility of investigating the theory of R-Mod-enriched categories for any unitary ring R, through the framework of Ab-enriched category theory. We prove that the category of R-Mod-enriched categories and the category of R-modules inside the category of Ab-enriched categories are equivalent.
Mahmoud El Ahmadi, Abdesslem Ayoujil, Mohammed Berrajaa: On a p(x)-biharmonic problem without the Ambrosetti-Rabinowitz condition
📥 Full Text (Editorial version), posted online 7 July 2025.
Abstract. (HTML abridged version) The purpose of this article is to study the existence and multiplicity of solutions for the following problem involving the p(x)-biharmonic operator: ... .
Lucio Boccardo, Marco Picerni: Stability results for variational inequalities in Sobolev spaces under Mosco Convergence of convex sets
📥 Full Text (Editorial version), posted online 1 February 2025.
Abstract. See the pdf.
Page updated
Report abuse