Zobrazeno 1 - 10
of 212
pro vyhledávání: '"Salort, Ariel"'
Autor:
Ochoa, Pablo, Salort, Ariel
In this article we study different extensions of the celebrated Hopf's boundary lemma within the context of a family of nonlocal, nonlinear and nonstandard growth operators. More precisely, we examine the behavior of solutions of the fractional $a-$L
Externí odkaz:
http://arxiv.org/abs/2411.13498
In this paper, we investigate the monotonicity of solutions for a nonlinear equations involving the fractional Laplacian with variable exponent. We first prove different maximum principles involving this operator. Then we employ the direct moving pla
Externí odkaz:
http://arxiv.org/abs/2404.01759
Autor:
Bonforte, Matteo, Salort, Ariel
We study regularity properties of solutions to nonlinear and nonlocal evolution problems driven by the so-called \emph{$0$-order fractional $p-$Laplacian} type operators: $$ \partial_t u(x,t)=\mathcal{J}_p u(x,t):=\int_{\mathbb{R}^n} J(x-y)|u(y,t)-u(
Externí odkaz:
http://arxiv.org/abs/2404.00479
In this work we investigate the energy of minimizers of Rayleigh-type quotients of the form $$ \frac{\int_\Omega A(|\nabla u|)\, dx}{\int_\Omega A(|u|)\, dx}. $$ These minimizers are eigenfunctions of the generalized laplacian defined as $\Delta_a u
Externí odkaz:
http://arxiv.org/abs/2403.05933
Autor:
Ochoa, Pablo, Salort, Ariel
In this paper, we consider different versions of the classical Hopf's boundary lemma in the setting of the fractional $p-$Laplacian for $p \geq 2$. We start by providing for a new proof to a Hopf's lemma based on comparison principles. Afterwards, we
Externí odkaz:
http://arxiv.org/abs/2312.07734
In this article we consider a homogeneous eigenvalue problem ruled by the fractional $g-$Laplacian operator whose Euler-Lagrange equation is obtained by minimization of a quotient involving Luxemburg norms. We prove existence of an infinite sequence
Externí odkaz:
http://arxiv.org/abs/2205.09621
In this paper we investigate the asymptotic behavior of anisotropic fractional energies as the fractional parameter $s\in (0,1)$ approaches both $s\uparrow 1$ and $s\downarrow 0$ in the spirit of the celebrated papers of Bourgain-Brezis-Mironescu \ci
Externí odkaz:
http://arxiv.org/abs/2204.04178
We give a complete characterization of the boundary traces $\varphi_i$ ($i=1,\dots,K$) supporting spiraling waves, rotating with a given angular speed $\omega$, which appear as singular limits of competition-diffusion systems of the type \[ \frac{\pa
Externí odkaz:
http://arxiv.org/abs/2202.10369
We establish global H\"older regularity for eigenfunctions of the fractional $g-$Laplacian with Dirichlet boundary conditions where $g=G'$ and $G$ is a Young functions satisfying the so called $\Delta_2$ condition. Our results apply to more general s
Externí odkaz:
http://arxiv.org/abs/2112.00830
Autor:
Salort, Ariel, Vecchi, Eugenio
In this note we obtain an asymptotic estimate for growth behavior of variational eigenvalues of the $p-$fractional eigenvalue problem on a smooth bounded domain with Dirichlet boundary condition.
Comment: mistake in the proof
Comment: mistake in the proof
Externí odkaz:
http://arxiv.org/abs/2111.02012