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pro vyhledávání: '"ESPOSITO, FRANCESCO"'
In this paper we study the effect of the Hardy potential on existence, uniqueness and optimal summability of solutions of the mixed local-nonlocal elliptic problem $$-\Delta u + (-\Delta)^s u - \gamma \frac{u}{|x|^2}=f \text{ in } \Omega, \ u=0 \text
Externí odkaz:
http://arxiv.org/abs/2407.06763
We provide a characterization of parallelizable compact complex manifolds and their quotients using holomorphic symmetric differentials. In particular we show that compact complex manifolds of Kodaira dimension 0 having strongly semiample cotangent b
Externí odkaz:
http://arxiv.org/abs/2406.04139
Autor:
Esposito, Francesco, Marietti, Mario
We introduce the concepts of an amazing hypercube decomposition and a double shortcut for it, and use these new ideas to formulate a conjecture implying the Combinatorial Invariance Conjecture of the Kazhdan--Lusztig polynomials for the symmetric gro
Externí odkaz:
http://arxiv.org/abs/2404.12834
Autor:
Esposito, Francesco, Marietti, Mario
In this work, we investigate a novel approach to the Combinatorial Invariance Conjecture of Kazhdan--Lusztig polynomials for the symmetric group. Using the new concept of flipclasses, we introduce some combinatorial invariants of intervals in the sym
Externí odkaz:
http://arxiv.org/abs/2402.13097
The aim of this paper is to deal with the anisotropic doubly critical equation $$-\Delta_p^H u - \frac{\gamma}{[H^\circ(x)]^p} u^{p-1} = u^{p^*-1} \qquad \text{in } \R^N,$$ where $H$ is in some cases called Finsler norm, $H^\circ$ is the dual norm, $
Externí odkaz:
http://arxiv.org/abs/2309.16361
We obtain some rigidity results for overdetermined boundary value problems for singular solutions in bounded domains.
Comment: 9 pages. Accepted for publication on the Bulletin of the London Mathematical Society
Comment: 9 pages. Accepted for publication on the Bulletin of the London Mathematical Society
Externí odkaz:
http://arxiv.org/abs/2308.03371
This work deals with a family of Hardy-Sobolev doubly critical system defined in $\mathbb{R}^n$. More precisely, we provide a classification of the positive solutions, whose expressions comprise multiplies of solutions of the decoupled scalar equatio
Externí odkaz:
http://arxiv.org/abs/2304.11066
Autor:
Esposito, Francesco, Penkov, Ivan
We construct universal monoidal categories of topological tensor supermodules over the Lie superalgebras $\mathfrak{gl}(V\oplus \Pi V)$ and $\mathfrak{osp}(V\oplus \Pi V)$ associated with a Tate space $V$. Here $V\oplus \Pi V$ is a $\mathbb{Z}/2\math
Externí odkaz:
http://arxiv.org/abs/2301.08921
Let G be a simple algebraic group of adjoint type over an algebraically closed field of bad characteristic. We show that its sheets of conjugacy classes are parametrized by G-conjugacy classes of pairs (M,O) where M is the identity component of the c
Externí odkaz:
http://arxiv.org/abs/2208.08418
We define a specialization map between cohomology algebras of quiver Grassmannians of Dynkin type and we prove that it is surjective in type A. This generalizes a result of Lanini and Strickland.
Comment: The new version include a new definition
Comment: The new version include a new definition
Externí odkaz:
http://arxiv.org/abs/2206.10281