Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Sportelli, Caterina"'
We consider the continuous superposition of operators of the form \[ \iint_{[0, 1]\times (1, N)} (-\Delta)_p^s \,u\,d\mu(s,p), \] where $\mu$ denotes a signed measure over the set $[0, 1]\times (1, N)$, joined to a nonlinearity satisfying a proper su
Externí odkaz:
http://arxiv.org/abs/2408.14049
We discuss the existence theory of a nonlinear problem of nonlocal type subject to Neumann boundary conditions. Differently from the existing literature, the elliptic operator under consideration is obtained as a superposition of operators of mixed o
Externí odkaz:
http://arxiv.org/abs/2404.11091
We present a new functional setting for Neumann conditions related to the superposition of (possibly infinitely many) fractional Laplace operators. We will introduce some bespoke functional framework and present minimization properties, existence and
Externí odkaz:
http://arxiv.org/abs/2402.05514
We establish the existence of multiple solutions for a nonlinear problem of critical type. The problem considered is fractional in nature, since it is obtained by the superposition of $(s,p)$-fractional Laplacians of different orders. The results obt
Externí odkaz:
http://arxiv.org/abs/2310.02628
We consider a superposition operator of the form $$ \int_{[0, 1]} (-\Delta)^s u\, d\mu(s),$$ for a signed measure $\mu$ on the interval of fractional exponents $[0,1]$, joined to a nonlinearity whose term of homogeneity equal to one is "jumping", i.e
Externí odkaz:
http://arxiv.org/abs/2309.13895
This paper deals with the existence and multiplicity of solutions for the generalized $(p, q)$-Laplacian equation \begin{align*} &-{\text{ div}}(A(x, u)|\nabla u|^{p-2}\nabla u) +\frac1p A_t(x, u)|\nabla u|^p -{\text{ div}}(B(x, u)|\nabla u|^{q-2}\na
Externí odkaz:
http://arxiv.org/abs/2309.13364
In this paper we study a nonlocal critical growth elliptic problem driven by the fractional Laplacian in presence of jumping nonlinearities. In the main results of the paper we prove the existence of a nontrivial solution for the problem under consid
Externí odkaz:
http://arxiv.org/abs/2308.11993
Publikováno v:
Mediterranean Journal of Mathematics, Volume 20, 2023, 300
Learning processes are useful methodologies able to improve knowledge of real phenomena. These are often dependent on hyperparameters, variables set before the training process and regulating the learning procedure. Hyperparameters optimization probl
Externí odkaz:
http://arxiv.org/abs/2301.13542
Autor:
Perera, Kanishka, Sportelli, Caterina
We study some critical elliptic problems involving the difference of two nonlocal operators, or the difference of a local operator and a nonlocal operator. The main result is the existence of two nontrivial weak solutions, one with negative energy an
Externí odkaz:
http://arxiv.org/abs/2210.14230
Publikováno v:
Ann. Mat. Pura Appl. 201 (2022) 2341-2369
In this paper we consider the following coupled gradient-type quasilinear elliptic system \begin{equation*} \left\{ \begin{array}{ll} - {\rm div} ( a(x, u, \nabla u) ) + A_t (x, u, \nabla u) = G_u(x, u, v) &\hbox{ in $\Omega$,}\\[10pt] - {\rm div} (
Externí odkaz:
http://arxiv.org/abs/2210.07056