Zobrazeno 1 - 10
of 902
pro vyhledávání: '"Sportelli, P"'
This paper deals with the fractional Sobolev spaces $W^{s, p}(\Omega)$, with $s\in (0, 1]$ and $p\in[1,+\infty]$. Here, we use the interpolation results in [4] to provide suitable conditions on the exponents $s$ and $p$ so that the spaces $W^{s, p}(\
Externí odkaz:
http://arxiv.org/abs/2411.12245
We establish the existence of homoclinic solutions for suitable systems of nonlocal equations whose forcing term is of gradient type. The elliptic operator under consideration is the fractional Laplacian and the potentials that we take into account a
Externí odkaz:
http://arxiv.org/abs/2410.04665
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
Autor:
Naima Sayahi, Giorgia Sportelli, Anna Vittoria Carluccio, Chantal Ebel, Tahar Mechichi, Fabrizio Cillo, Moez Hanin, Livia Stavolone
Publikováno v:
Current Plant Biology, Vol 40, Iss , Pp 100390- (2024)
Besides increasing plant growth, several Plant Growth Promoting Rhizobacteria (PGPR), can enhance tolerance to biotic and/or abiotic stresses of numerous plant species. While cultivated plants are frequently subject to combined stresses in the field,
Externí odkaz:
https://doaj.org/article/c2e06f79bc594464a2fd09a795667b00
